QnA fy - Recent questions and answers in Algebra

QnA fy - Recent questions and answers in Algebra https://qnafy.com/qa/math/algebra Powered by Question2Answer Answered: দেখাও যে, $1+3+5+7+ \cdots +125$$=169+171+173+ \cdots +209$। https://qnafy.com/19350/%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%241-3-5-7-cdots-125%24%24-169-171-173-cdots-209%24%E0%A5%A4?show=19372#a19372 Algebra https://qnafy.com/19350/%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%241-3-5-7-cdots-125%24%24-169-171-173-cdots-209%24%E0%A5%A4?show=19372#a19372 Mon, 24 Nov 2025 16:06:37 +0000 Answered: এক ব্যক্তি $2500$ টাকার একটি ঋণ কিছুসংখ্যক কিস্তিতে পরিশোধ করতে রাজি হন। প্রত্যেক কিস্তি পূর্বের কিস্তি থেকে $2$ টাকা বেশি। যদি প্রথম কিস্তি $1$ টাকা হয়, তবে কতগুলো কিস্তিতে ঐ ব্যক্তি তার ঋণ শোধ করতে পারবেন? https://qnafy.com/19349/%E0%A6%8F%E0%A6%95-%E0%A6%AC%E0%A7%8D%E0%A6%AF%E0%A6%95%E0%A7%8D%E0%A6%A4%E0%A6%BF-%242500%24-%E0%A6%9F%E0%A6%BE%E0%A6%95%E0%A6%BE%E0%A6%B0-%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%8B%E0%A6%A3-%E0%A6%95%E0%A6%BF%E0%A6%9B%E0%A7%81%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%95-%E0%A6%95%E0%A6%BF%E0%A6%B8%E0%A7%8D%E0%A6%A4%E0%A6%BF%E0%A6%A4%E0%A7%87-%E0%A6%AA%E0%A6%B0%E0%A6%BF%E0%A6%B6%E0%A7%8B%E0%A6%A7-%E0%A6%95%E0%A6%B0%E0%A6%A4%E0%A7%87-%E0%A6%B0%E0%A6%BE%E0%A6%9C%E0%A6%BF-%E0%A6%B9%E0%A6%A8%E0%A5%A4-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A4%E0%A7%8D%E0%A6%AF%E0%A7%87%E0%A6%95-%E0%A6%95%E0%A6%BF%E0%A6%B8%E0%A7%8D%E0%A6%A4%E0%A6%BF-%E0%A6%AA%E0%A7%82%E0%A6%B0%E0%A7%8D%E0%A6%AC%E0%A7%87%E0%A6%B0-%E0%A6%95%E0%A6%BF%E0%A6%B8%E0%A7%8D%E0%A6%A4%E0%A6%BF-%E0%A6%A5%E0%A7%87%E0%A6%95%E0%A7%87-%242%24-%E0%A6%9F%E0%A6%BE%E0%A6%95%E0%A6%BE-%E0%A6%AC%E0%A7%87%E0%A6%B6%E0%A6%BF%E0%A5%A4-%E0%A6%AF%E0%A6%A6%E0%A6%BF-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%E0%A6%95%E0%A6%BF%E0%A6%B8%E0%A7%8D%E0%A6%A4%E0%A6%BF-%241%24-%E0%A6%9F%E0%A6%BE%E0%A6%95%E0%A6%BE-%E0%A6%B9%E0%A7%9F-%E0%A6%A4%E0%A6%AC%E0%A7%87-%E0%A6%95%E0%A6%A4%E0%A6%97%E0%A7%81%E0%A6%B2%E0%A7%8B-%E0%A6%95%E0%A6%BF%E0%A6%B8%E0%A7%8D%E0%A6%A4%E0%A6%BF%E0%A6%A4%E0%A7%87-%E0%A6%90-%E0%A6%AC%E0%A7%8D%E0%A6%AF%E0%A6%95%E0%A7%8D%E0%A6%A4%E0%A6%BF-%E0%A6%A4%E0%A6%BE%E0%A6%B0-%E0%A6%8B%E0%A6%A3-%E0%A6%B6%E0%A7%8B%E0%A6%A7-%E0%A6%95%E0%A6%B0%E0%A6%A4%E0%A7%87-%E0%A6%AA%E0%A6%BE%E0%A6%B0%E0%A6%AC%E0%A7%87%E0%A6%A8?show=19370#a19370 Algebra https://qnafy.com/19349/%E0%A6%8F%E0%A6%95-%E0%A6%AC%E0%A7%8D%E0%A6%AF%E0%A6%95%E0%A7%8D%E0%A6%A4%E0%A6%BF-%242500%24-%E0%A6%9F%E0%A6%BE%E0%A6%95%E0%A6%BE%E0%A6%B0-%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%8B%E0%A6%A3-%E0%A6%95%E0%A6%BF%E0%A6%9B%E0%A7%81%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%95-%E0%A6%95%E0%A6%BF%E0%A6%B8%E0%A7%8D%E0%A6%A4%E0%A6%BF%E0%A6%A4%E0%A7%87-%E0%A6%AA%E0%A6%B0%E0%A6%BF%E0%A6%B6%E0%A7%8B%E0%A6%A7-%E0%A6%95%E0%A6%B0%E0%A6%A4%E0%A7%87-%E0%A6%B0%E0%A6%BE%E0%A6%9C%E0%A6%BF-%E0%A6%B9%E0%A6%A8%E0%A5%A4-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A4%E0%A7%8D%E0%A6%AF%E0%A7%87%E0%A6%95-%E0%A6%95%E0%A6%BF%E0%A6%B8%E0%A7%8D%E0%A6%A4%E0%A6%BF-%E0%A6%AA%E0%A7%82%E0%A6%B0%E0%A7%8D%E0%A6%AC%E0%A7%87%E0%A6%B0-%E0%A6%95%E0%A6%BF%E0%A6%B8%E0%A7%8D%E0%A6%A4%E0%A6%BF-%E0%A6%A5%E0%A7%87%E0%A6%95%E0%A7%87-%242%24-%E0%A6%9F%E0%A6%BE%E0%A6%95%E0%A6%BE-%E0%A6%AC%E0%A7%87%E0%A6%B6%E0%A6%BF%E0%A5%A4-%E0%A6%AF%E0%A6%A6%E0%A6%BF-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%E0%A6%95%E0%A6%BF%E0%A6%B8%E0%A7%8D%E0%A6%A4%E0%A6%BF-%241%24-%E0%A6%9F%E0%A6%BE%E0%A6%95%E0%A6%BE-%E0%A6%B9%E0%A7%9F-%E0%A6%A4%E0%A6%AC%E0%A7%87-%E0%A6%95%E0%A6%A4%E0%A6%97%E0%A7%81%E0%A6%B2%E0%A7%8B-%E0%A6%95%E0%A6%BF%E0%A6%B8%E0%A7%8D%E0%A6%A4%E0%A6%BF%E0%A6%A4%E0%A7%87-%E0%A6%90-%E0%A6%AC%E0%A7%8D%E0%A6%AF%E0%A6%95%E0%A7%8D%E0%A6%A4%E0%A6%BF-%E0%A6%A4%E0%A6%BE%E0%A6%B0-%E0%A6%8B%E0%A6%A3-%E0%A6%B6%E0%A7%8B%E0%A6%A7-%E0%A6%95%E0%A6%B0%E0%A6%A4%E0%A7%87-%E0%A6%AA%E0%A6%BE%E0%A6%B0%E0%A6%AC%E0%A7%87%E0%A6%A8?show=19370#a19370 Mon, 24 Nov 2025 15:22:05 +0000 $13+20+27+34+ \cdots +111$ ধরাটির পদ সংখ্যা কত? https://qnafy.com/19369/%2413-20-27-34-cdots-111%24-%E0%A6%A7%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%E0%A6%AA%E0%A6%A6-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE-%E0%A6%95%E0%A6%A4 Algebra https://qnafy.com/19369/%2413-20-27-34-cdots-111%24-%E0%A6%A7%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%E0%A6%AA%E0%A6%A6-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE-%E0%A6%95%E0%A6%A4 Mon, 24 Nov 2025 15:08:50 +0000 $7+13+19+25+ \cdots$ একটি ধারা। ধারাটির $15$ তম ও $20$ তম পদ নির্ণয় কর। https://qnafy.com/19368/%247-13-19-25-cdots%24-%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A5%A4-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%2415%24-%E0%A6%A4%E0%A6%AE-%E0%A6%93-%2420%24-%E0%A6%A4%E0%A6%AE-%E0%A6%AA%E0%A6%A6-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4 Algebra https://qnafy.com/19368/%247-13-19-25-cdots%24-%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A5%A4-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%2415%24-%E0%A6%A4%E0%A6%AE-%E0%A6%93-%2420%24-%E0%A6%A4%E0%A6%AE-%E0%A6%AA%E0%A6%A6-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4 Fri, 21 Nov 2025 16:22:56 +0000 $2-5-12-19-\cdots$ ধারাটির সাধারণ অন্তর এবং $12$ তম পদ নির্ণয় কর। https://qnafy.com/19367/%242-5-12-19-cdots%24-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%E0%A6%B8%E0%A6%BE%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%A3-%E0%A6%85%E0%A6%A8%E0%A7%8D%E0%A6%A4%E0%A6%B0-%E0%A6%8F%E0%A6%AC%E0%A6%82-%2412%24-%E0%A6%A4%E0%A6%AE-%E0%A6%AA%E0%A6%A6-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4 Algebra https://qnafy.com/19367/%242-5-12-19-cdots%24-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%E0%A6%B8%E0%A6%BE%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%A3-%E0%A6%85%E0%A6%A8%E0%A7%8D%E0%A6%A4%E0%A6%B0-%E0%A6%8F%E0%A6%AC%E0%A6%82-%2412%24-%E0%A6%A4%E0%A6%AE-%E0%A6%AA%E0%A6%A6-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4 Fri, 21 Nov 2025 16:21:29 +0000 $8+11+14+17+\cdots$ ধারাটির কোন পদ $392$? https://qnafy.com/19366/%248-11-14-17-cdots%24-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%E0%A6%95%E0%A7%8B%E0%A6%A8-%E0%A6%AA%E0%A6%A6-%24392%24 Algebra https://qnafy.com/19366/%248-11-14-17-cdots%24-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%E0%A6%95%E0%A7%8B%E0%A6%A8-%E0%A6%AA%E0%A6%A6-%24392%24 Fri, 21 Nov 2025 16:21:00 +0000 $4+7+10+13+\cdots$ ধারাটির কোন পদ $301$? https://qnafy.com/19365/%244-7-10-13-cdots%24-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%E0%A6%95%E0%A7%8B%E0%A6%A8-%E0%A6%AA%E0%A6%A6-%24301%24 Algebra https://qnafy.com/19365/%244-7-10-13-cdots%24-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%E0%A6%95%E0%A7%8B%E0%A6%A8-%E0%A6%AA%E0%A6%A6-%24301%24 Fri, 21 Nov 2025 16:20:38 +0000 কোনো সমান্তর ধারার $m$ তম পদ $n$ এবং $n$ তম পদ $m$ হলে, ধারাটির $(m+n)$ তম পদ কত? https://qnafy.com/19364/%E0%A6%95%E0%A7%8B%E0%A6%A8%E0%A7%8B-%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A8%E0%A7%8D%E0%A6%A4%E0%A6%B0-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%B0-%24m%24-%E0%A6%A4%E0%A6%AE-%E0%A6%AA%E0%A6%A6-%24n%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%24n%24-%E0%A6%A4%E0%A6%AE-%E0%A6%AA%E0%A6%A6-%24m%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%24-m-n-%24-%E0%A6%A4%E0%A6%AE-%E0%A6%AA%E0%A6%A6-%E0%A6%95%E0%A6%A4 Algebra https://qnafy.com/19364/%E0%A6%95%E0%A7%8B%E0%A6%A8%E0%A7%8B-%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A8%E0%A7%8D%E0%A6%A4%E0%A6%B0-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%B0-%24m%24-%E0%A6%A4%E0%A6%AE-%E0%A6%AA%E0%A6%A6-%24n%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%24n%24-%E0%A6%A4%E0%A6%AE-%E0%A6%AA%E0%A6%A6-%24m%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%24-m-n-%24-%E0%A6%A4%E0%A6%AE-%E0%A6%AA%E0%A6%A6-%E0%A6%95%E0%A6%A4 Fri, 21 Nov 2025 16:20:14 +0000 $1+3+5+7+\cdots$ ধারাটির $n$ পদের সমষ্টি কত? https://qnafy.com/19363/%241-3-5-7-cdots%24-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%24n%24-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%E0%A6%95%E0%A6%A4 Algebra https://qnafy.com/19363/%241-3-5-7-cdots%24-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%24n%24-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%E0%A6%95%E0%A6%A4 Fri, 21 Nov 2025 16:19:42 +0000 $8+16+24+\cdots$ ধারাটির প্রথম $9$টি পদের সমষ্টি কত? https://qnafy.com/19362/%248-16-24-cdots%24-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%249%24%E0%A6%9F%E0%A6%BF-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%E0%A6%95%E0%A6%A4 Algebra https://qnafy.com/19362/%248-16-24-cdots%24-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%249%24%E0%A6%9F%E0%A6%BF-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%E0%A6%95%E0%A6%A4 Fri, 21 Nov 2025 16:19:18 +0000 $5+11+17+23+\cdots+59=$কত? https://qnafy.com/19361/%245-11-17-23-cdots-59-%24%E0%A6%95%E0%A6%A4 Algebra https://qnafy.com/19361/%245-11-17-23-cdots-59-%24%E0%A6%95%E0%A6%A4 Fri, 21 Nov 2025 16:18:55 +0000 $29+25+21+\cdots-23=$কত? https://qnafy.com/19360/%2429-25-21-cdots-23-%24%E0%A6%95%E0%A6%A4 Algebra https://qnafy.com/19360/%2429-25-21-cdots-23-%24%E0%A6%95%E0%A6%A4 Fri, 21 Nov 2025 16:18:22 +0000 কোনো সমান্তর ধারার $12$ তম পদ $77$ হলে, এর প্রথম $23$টি পদের সমষ্টি কত? https://qnafy.com/19359/%E0%A6%95%E0%A7%8B%E0%A6%A8%E0%A7%8B-%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A8%E0%A7%8D%E0%A6%A4%E0%A6%B0-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%B0-%2412%24-%E0%A6%A4%E0%A6%AE-%E0%A6%AA%E0%A6%A6-%2477%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%8F%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%2423%24%E0%A6%9F%E0%A6%BF-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%E0%A6%95%E0%A6%A4 Algebra https://qnafy.com/19359/%E0%A6%95%E0%A7%8B%E0%A6%A8%E0%A7%8B-%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A8%E0%A7%8D%E0%A6%A4%E0%A6%B0-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%B0-%2412%24-%E0%A6%A4%E0%A6%AE-%E0%A6%AA%E0%A6%A6-%2477%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%8F%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%2423%24%E0%A6%9F%E0%A6%BF-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%E0%A6%95%E0%A6%A4 Fri, 21 Nov 2025 16:17:55 +0000 একটি সমান্তর ধারার $16$ তম পদ $-20$ হলে, এর প্রথম $31$টি পদের সমষ্টি কত? https://qnafy.com/19358/%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A8%E0%A7%8D%E0%A6%A4%E0%A6%B0-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%B0-%2416%24-%E0%A6%A4%E0%A6%AE-%E0%A6%AA%E0%A6%A6-%24-20%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%8F%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%2431%24%E0%A6%9F%E0%A6%BF-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%E0%A6%95%E0%A6%A4 Algebra https://qnafy.com/19358/%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A8%E0%A7%8D%E0%A6%A4%E0%A6%B0-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%B0-%2416%24-%E0%A6%A4%E0%A6%AE-%E0%A6%AA%E0%A6%A6-%24-20%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%8F%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%2431%24%E0%A6%9F%E0%A6%BF-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%E0%A6%95%E0%A6%A4 Fri, 21 Nov 2025 16:17:26 +0000 $9+7+5+\cdots$ ধারাটির প্রথম $n$ সংখ্যক পদের যোগফল $-144$ হলে, $n$ এর মান নির্ণয় কর। https://qnafy.com/19357/%249-7-5-cdots%24-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%24n%24-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%95-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%AF%E0%A7%8B%E0%A6%97%E0%A6%AB%E0%A6%B2-%24-144%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%24n%24-%E0%A6%8F%E0%A6%B0-%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4 Algebra https://qnafy.com/19357/%249-7-5-cdots%24-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%24n%24-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%95-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%AF%E0%A7%8B%E0%A6%97%E0%A6%AB%E0%A6%B2-%24-144%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%24n%24-%E0%A6%8F%E0%A6%B0-%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4 Fri, 21 Nov 2025 16:16:54 +0000 $2+4+6+8+\cdots$ ধারাটির প্রথম $n$ সংখ্যক পদের সমষ্টি $2550$ হলে, $n$ এর মান নির্ণয় কর। https://qnafy.com/19356/%242-4-6-8-cdots%24-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%24n%24-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%95-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%242550%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%24n%24-%E0%A6%8F%E0%A6%B0-%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4 Algebra https://qnafy.com/19356/%242-4-6-8-cdots%24-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%24n%24-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%95-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%242550%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%24n%24-%E0%A6%8F%E0%A6%B0-%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4 Fri, 21 Nov 2025 16:16:05 +0000 কোনো ধারার প্রথম $n$ সংখ্যক পদের সমষ্টি $n(n+1)$ হলে, ধারাটি নির্ণয় কর। https://qnafy.com/19355/%E0%A6%95%E0%A7%8B%E0%A6%A8%E0%A7%8B-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%24n%24-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%95-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%24n-n-1-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4 Algebra https://qnafy.com/19355/%E0%A6%95%E0%A7%8B%E0%A6%A8%E0%A7%8B-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%24n%24-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%95-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%24n-n-1-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4 Fri, 21 Nov 2025 16:15:34 +0000 কোনো ধারার প্রথম $n$ সংখ্যক পদের সমষ্টি $n(n+1)$। ধারাটির $10$টি পদের সমষ্টি কত? https://qnafy.com/19354/%E0%A6%95%E0%A7%8B%E0%A6%A8%E0%A7%8B-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%24n%24-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%95-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%24n-n-1-%24%E0%A5%A4-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%2410%24%E0%A6%9F%E0%A6%BF-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%E0%A6%95%E0%A6%A4 Algebra https://qnafy.com/19354/%E0%A6%95%E0%A7%8B%E0%A6%A8%E0%A7%8B-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%24n%24-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%95-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%24n-n-1-%24%E0%A5%A4-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B0-%2410%24%E0%A6%9F%E0%A6%BF-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%E0%A6%95%E0%A6%A4 Fri, 21 Nov 2025 16:15:08 +0000 একটি সমান্তর ধারার প্রথম $12$ পদের সমষ্টি $144$ এবং প্রথম $20$ পদের সমষ্টি $560$ হলে, এর প্রথম $6$ পদের সমষ্টি নির্ণয় কর। https://qnafy.com/19353/%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A8%E0%A7%8D%E0%A6%A4%E0%A6%B0-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%2412%24-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%24144%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%2420%24-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%24560%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%8F%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%246%24-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4 Algebra https://qnafy.com/19353/%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A8%E0%A7%8D%E0%A6%A4%E0%A6%B0-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%2412%24-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%24144%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%2420%24-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%24560%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%8F%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%246%24-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4 Fri, 21 Nov 2025 16:14:34 +0000 একটি সমান্তর ধারার প্রথম $m$ পদের সমষ্টি $n$ এবং প্রথম $n$ পদের সমষ্টি $m$ হলে, এর প্রথম $(m+n)$ পদের সমষ্টি নির্ণয় কর। https://qnafy.com/19352/%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A8%E0%A7%8D%E0%A6%A4%E0%A6%B0-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%24m%24-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%24n%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%24n%24-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%24m%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%8F%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%24-m-n-%24-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4 Algebra https://qnafy.com/19352/%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A8%E0%A7%8D%E0%A6%A4%E0%A6%B0-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%24m%24-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%24n%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%24n%24-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%24m%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%8F%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A5%E0%A6%AE-%24-m-n-%24-%E0%A6%AA%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4 Fri, 21 Nov 2025 16:14:04 +0000 কোনো সমান্তর ধারায় $p$ তম, $q$ তম ও $r$ তম পদ যথাক্রমে $a$, $b$, $c$ হলে, দেখাও যে, $a(q-r)+b(r-p)+c(p-q)=0$ https://qnafy.com/19351/%E0%A6%95%E0%A7%8B%E0%A6%A8%E0%A7%8B-%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A8%E0%A7%8D%E0%A6%A4%E0%A6%B0-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A7%9F-%24p%24-%E0%A6%A4%E0%A6%AE-%24q%24-%E0%A6%A4%E0%A6%AE-%E0%A6%93-%24r%24-%E0%A6%A4%E0%A6%AE-%E0%A6%AA%E0%A6%A6-%E0%A6%AF%E0%A6%A5%E0%A6%BE%E0%A6%95%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A7%87-%24a%24-%24b%24-%24c%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%24a-q-r-b-r-p-c-p-q-0%24 Algebra https://qnafy.com/19351/%E0%A6%95%E0%A7%8B%E0%A6%A8%E0%A7%8B-%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A8%E0%A7%8D%E0%A6%A4%E0%A6%B0-%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE%E0%A7%9F-%24p%24-%E0%A6%A4%E0%A6%AE-%24q%24-%E0%A6%A4%E0%A6%AE-%E0%A6%93-%24r%24-%E0%A6%A4%E0%A6%AE-%E0%A6%AA%E0%A6%A6-%E0%A6%AF%E0%A6%A5%E0%A6%BE%E0%A6%95%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A7%87-%24a%24-%24b%24-%24c%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%24a-q-r-b-r-p-c-p-q-0%24 Fri, 21 Nov 2025 16:13:27 +0000 Answered: $x:y=7:5$, $y:z=5:7$ হলে $x:z=$ কত? https://qnafy.com/19346/%24x-y-7-5%24-%24y-z-5-7%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%24x-z-%24-%E0%A6%95%E0%A6%A4?show=19347#a19347 Algebra https://qnafy.com/19346/%24x-y-7-5%24-%24y-z-5-7%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%24x-z-%24-%E0%A6%95%E0%A6%A4?show=19347#a19347 Fri, 10 Oct 2025 10:36:29 +0000 Answered: একটি বর্গের বাহুর দৈর্ঘ্য দ্বিগুণ হলে তার ক্ষেত্রফল কতগুণ বৃদ্ধি পাবে? https://qnafy.com/19344/%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%AC%E0%A6%B0%E0%A7%8D%E0%A6%97%E0%A7%87%E0%A6%B0-%E0%A6%AC%E0%A6%BE%E0%A6%B9%E0%A7%81%E0%A6%B0-%E0%A6%A6%E0%A7%88%E0%A6%B0%E0%A7%8D%E0%A6%98%E0%A7%8D%E0%A6%AF-%E0%A6%A6%E0%A7%8D%E0%A6%AC%E0%A6%BF%E0%A6%97%E0%A7%81%E0%A6%A3-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A4%E0%A6%BE%E0%A6%B0-%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A6%AB%E0%A6%B2-%E0%A6%95%E0%A6%A4%E0%A6%97%E0%A7%81%E0%A6%A3-%E0%A6%AC%E0%A7%83%E0%A6%A6%E0%A7%8D%E0%A6%A7%E0%A6%BF-%E0%A6%AA%E0%A6%BE%E0%A6%AC%E0%A7%87?show=19345#a19345 Algebra https://qnafy.com/19344/%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%AC%E0%A6%B0%E0%A7%8D%E0%A6%97%E0%A7%87%E0%A6%B0-%E0%A6%AC%E0%A6%BE%E0%A6%B9%E0%A7%81%E0%A6%B0-%E0%A6%A6%E0%A7%88%E0%A6%B0%E0%A7%8D%E0%A6%98%E0%A7%8D%E0%A6%AF-%E0%A6%A6%E0%A7%8D%E0%A6%AC%E0%A6%BF%E0%A6%97%E0%A7%81%E0%A6%A3-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A4%E0%A6%BE%E0%A6%B0-%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A6%AB%E0%A6%B2-%E0%A6%95%E0%A6%A4%E0%A6%97%E0%A7%81%E0%A6%A3-%E0%A6%AC%E0%A7%83%E0%A6%A6%E0%A7%8D%E0%A6%A7%E0%A6%BF-%E0%A6%AA%E0%A6%BE%E0%A6%AC%E0%A7%87?show=19345#a19345 Fri, 10 Oct 2025 10:29:42 +0000 Answered: আরিফ ও আকিবের বয়সের অনুপাত $5:3$, আরিফের বয়স $20$ বছর হলে, কত বছর পরে তাদের বয়সের অনুপাত $7:5$ হবে? https://qnafy.com/19342/%E0%A6%86%E0%A6%B0%E0%A6%BF%E0%A6%AB-%E0%A6%93-%E0%A6%86%E0%A6%95%E0%A6%BF%E0%A6%AC%E0%A7%87%E0%A6%B0-%E0%A6%AC%E0%A7%9F%E0%A6%B8%E0%A7%87%E0%A6%B0-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%245-3%24-%E0%A6%86%E0%A6%B0%E0%A6%BF%E0%A6%AB%E0%A7%87%E0%A6%B0-%E0%A6%AC%E0%A7%9F%E0%A6%B8-%2420%24-%E0%A6%AC%E0%A6%9B%E0%A6%B0-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%95%E0%A6%A4-%E0%A6%AC%E0%A6%9B%E0%A6%B0-%E0%A6%AA%E0%A6%B0%E0%A7%87-%E0%A6%A4%E0%A6%BE%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%AC%E0%A7%9F%E0%A6%B8%E0%A7%87%E0%A6%B0-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%247-5%24-%E0%A6%B9%E0%A6%AC%E0%A7%87?show=19343#a19343 Algebra https://qnafy.com/19342/%E0%A6%86%E0%A6%B0%E0%A6%BF%E0%A6%AB-%E0%A6%93-%E0%A6%86%E0%A6%95%E0%A6%BF%E0%A6%AC%E0%A7%87%E0%A6%B0-%E0%A6%AC%E0%A7%9F%E0%A6%B8%E0%A7%87%E0%A6%B0-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%245-3%24-%E0%A6%86%E0%A6%B0%E0%A6%BF%E0%A6%AB%E0%A7%87%E0%A6%B0-%E0%A6%AC%E0%A7%9F%E0%A6%B8-%2420%24-%E0%A6%AC%E0%A6%9B%E0%A6%B0-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%95%E0%A6%A4-%E0%A6%AC%E0%A6%9B%E0%A6%B0-%E0%A6%AA%E0%A6%B0%E0%A7%87-%E0%A6%A4%E0%A6%BE%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%AC%E0%A7%9F%E0%A6%B8%E0%A7%87%E0%A6%B0-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%247-5%24-%E0%A6%B9%E0%A6%AC%E0%A7%87?show=19343#a19343 Fri, 10 Oct 2025 10:07:38 +0000 Answered: $\frac{a}{x}=\frac{m^2+n^2}{2mn}$ হলে $\frac{\sqrt{a+x}}{\sqrt{a-x}}$ কত? https://qnafy.com/19340/%24-frac-a-x-frac-m-2-n-2-2mn-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%24-frac-sqrt-a-x-sqrt-a-x-%24-%E0%A6%95%E0%A6%A4?show=19341#a19341 Algebra https://qnafy.com/19340/%24-frac-a-x-frac-m-2-n-2-2mn-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%24-frac-sqrt-a-x-sqrt-a-x-%24-%E0%A6%95%E0%A6%A4?show=19341#a19341 Fri, 10 Oct 2025 07:35:56 +0000 Answered: $1011$ টাকাকে $\frac{3}{4}:\frac{4}{5}:\frac{6}{7}$ অনুপাতে বিভক্ত কর। https://qnafy.com/19332/%241011%24-%E0%A6%9F%E0%A6%BE%E0%A6%95%E0%A6%BE%E0%A6%95%E0%A7%87-%24-frac-3-4-frac-4-5-frac-6-7-%24-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4%E0%A7%87-%E0%A6%AC%E0%A6%BF%E0%A6%AD%E0%A6%95%E0%A7%8D%E0%A6%A4-%E0%A6%95%E0%A6%B0%E0%A5%A4?show=19333#a19333 Algebra https://qnafy.com/19332/%241011%24-%E0%A6%9F%E0%A6%BE%E0%A6%95%E0%A6%BE%E0%A6%95%E0%A7%87-%24-frac-3-4-frac-4-5-frac-6-7-%24-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4%E0%A7%87-%E0%A6%AC%E0%A6%BF%E0%A6%AD%E0%A6%95%E0%A7%8D%E0%A6%A4-%E0%A6%95%E0%A6%B0%E0%A5%A4?show=19333#a19333 Thu, 02 Oct 2025 05:49:12 +0000 Answered: একটি সমিতির নেতা নির্বাচনে দুইজন প্রতিদ্বন্দীর মধ্যে ডোনাল্ড সাহেব $4:3$ ভোটে জয়লাভ করলেন। যদি মোট সদস্য সংখ্যা $581$ হয় এবং $91$ জন সদস্য ভোট না দিয়ে থাকেন, তবে ডোনাল্ড সাহেবের প্রতিদ্বন্দী কত ভোটের ব্যবধানে পরিজিত হয়েছেন? https://qnafy.com/19327/%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%B8%E0%A6%AE%E0%A6%BF%E0%A6%A4%E0%A6%BF%E0%A6%B0-%E0%A6%A8%E0%A7%87%E0%A6%A4%E0%A6%BE-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%AC%E0%A6%BE%E0%A6%9A%E0%A6%A8%E0%A7%87-%E0%A6%A6%E0%A7%81%E0%A6%87%E0%A6%9C%E0%A6%A8-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A4%E0%A6%BF%E0%A6%A6%E0%A7%8D%E0%A6%AC%E0%A6%A8%E0%A7%8D%E0%A6%A6%E0%A7%80%E0%A6%B0-%E0%A6%AE%E0%A6%A7%E0%A7%8D%E0%A6%AF%E0%A7%87-%E0%A6%A1%E0%A7%8B%E0%A6%A8%E0%A6%BE%E0%A6%B2%E0%A7%8D%E0%A6%A1-%E0%A6%B8%E0%A6%BE%E0%A6%B9%E0%A7%87%E0%A6%AC-%244-3%24-%E0%A6%AD%E0%A7%8B%E0%A6%9F%E0%A7%87-%E0%A6%9C%E0%A7%9F%E0%A6%B2%E0%A6%BE%E0%A6%AD-%E0%A6%95%E0%A6%B0%E0%A6%B2%E0%A7%87%E0%A6%A8%E0%A5%A4-%E0%A6%AF%E0%A6%A6%E0%A6%BF-%E0%A6%AE%E0%A7%8B%E0%A6%9F-%E0%A6%B8%E0%A6%A6%E0%A6%B8%E0%A7%8D%E0%A6%AF-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE-%24581%24-%E0%A6%B9%E0%A7%9F-%E0%A6%8F%E0%A6%AC%E0%A6%82-%2491%24-%E0%A6%9C%E0%A6%A8-%E0%A6%B8%E0%A6%A6%E0%A6%B8%E0%A7%8D%E0%A6%AF-%E0%A6%AD%E0%A7%8B%E0%A6%9F-%E0%A6%A8%E0%A6%BE-%E0%A6%A6%E0%A6%BF%E0%A7%9F%E0%A7%87-%E0%A6%A5%E0%A6%BE%E0%A6%95%E0%A7%87%E0%A6%A8-%E0%A6%A4%E0%A6%AC%E0%A7%87-%E0%A6%A1%E0%A7%8B%E0%A6%A8%E0%A6%BE%E0%A6%B2%E0%A7%8D%E0%A6%A1-%E0%A6%B8%E0%A6%BE%E0%A6%B9%E0%A7%87%E0%A6%AC%E0%A7%87%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A4%E0%A6%BF%E0%A6%A6%E0%A7%8D%E0%A6%AC%E0%A6%A8%E0%A7%8D%E0%A6%A6%E0%A7%80-%E0%A6%95%E0%A6%A4-%E0%A6%AD%E0%A7%8B%E0%A6%9F%E0%A7%87%E0%A6%B0-%E0%A6%AC%E0%A7%8D%E0%A6%AF%E0%A6%AC%E0%A6%A7%E0%A6%BE%E0%A6%A8%E0%A7%87-%E0%A6%AA%E0%A6%B0%E0%A6%BF%E0%A6%9C%E0%A6%BF%E0%A6%A4-%E0%A6%B9%E0%A7%9F%E0%A7%87%E0%A6%9B%E0%A7%87%E0%A6%A8?show=19328#a19328 Algebra https://qnafy.com/19327/%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%B8%E0%A6%AE%E0%A6%BF%E0%A6%A4%E0%A6%BF%E0%A6%B0-%E0%A6%A8%E0%A7%87%E0%A6%A4%E0%A6%BE-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%AC%E0%A6%BE%E0%A6%9A%E0%A6%A8%E0%A7%87-%E0%A6%A6%E0%A7%81%E0%A6%87%E0%A6%9C%E0%A6%A8-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A4%E0%A6%BF%E0%A6%A6%E0%A7%8D%E0%A6%AC%E0%A6%A8%E0%A7%8D%E0%A6%A6%E0%A7%80%E0%A6%B0-%E0%A6%AE%E0%A6%A7%E0%A7%8D%E0%A6%AF%E0%A7%87-%E0%A6%A1%E0%A7%8B%E0%A6%A8%E0%A6%BE%E0%A6%B2%E0%A7%8D%E0%A6%A1-%E0%A6%B8%E0%A6%BE%E0%A6%B9%E0%A7%87%E0%A6%AC-%244-3%24-%E0%A6%AD%E0%A7%8B%E0%A6%9F%E0%A7%87-%E0%A6%9C%E0%A7%9F%E0%A6%B2%E0%A6%BE%E0%A6%AD-%E0%A6%95%E0%A6%B0%E0%A6%B2%E0%A7%87%E0%A6%A8%E0%A5%A4-%E0%A6%AF%E0%A6%A6%E0%A6%BF-%E0%A6%AE%E0%A7%8B%E0%A6%9F-%E0%A6%B8%E0%A6%A6%E0%A6%B8%E0%A7%8D%E0%A6%AF-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE-%24581%24-%E0%A6%B9%E0%A7%9F-%E0%A6%8F%E0%A6%AC%E0%A6%82-%2491%24-%E0%A6%9C%E0%A6%A8-%E0%A6%B8%E0%A6%A6%E0%A6%B8%E0%A7%8D%E0%A6%AF-%E0%A6%AD%E0%A7%8B%E0%A6%9F-%E0%A6%A8%E0%A6%BE-%E0%A6%A6%E0%A6%BF%E0%A7%9F%E0%A7%87-%E0%A6%A5%E0%A6%BE%E0%A6%95%E0%A7%87%E0%A6%A8-%E0%A6%A4%E0%A6%AC%E0%A7%87-%E0%A6%A1%E0%A7%8B%E0%A6%A8%E0%A6%BE%E0%A6%B2%E0%A7%8D%E0%A6%A1-%E0%A6%B8%E0%A6%BE%E0%A6%B9%E0%A7%87%E0%A6%AC%E0%A7%87%E0%A6%B0-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A4%E0%A6%BF%E0%A6%A6%E0%A7%8D%E0%A6%AC%E0%A6%A8%E0%A7%8D%E0%A6%A6%E0%A7%80-%E0%A6%95%E0%A6%A4-%E0%A6%AD%E0%A7%8B%E0%A6%9F%E0%A7%87%E0%A6%B0-%E0%A6%AC%E0%A7%8D%E0%A6%AF%E0%A6%AC%E0%A6%A7%E0%A6%BE%E0%A6%A8%E0%A7%87-%E0%A6%AA%E0%A6%B0%E0%A6%BF%E0%A6%9C%E0%A6%BF%E0%A6%A4-%E0%A6%B9%E0%A7%9F%E0%A7%87%E0%A6%9B%E0%A7%87%E0%A6%A8?show=19328#a19328 Thu, 02 Oct 2025 05:12:26 +0000 Answered: দুইটি বর্গক্ষেত্রের বাহুর দৈর্ঘ্য যথাক্রমে $a$ মিটার এবং $b$ মিটার হলে, এদের ক্ষেত্রফলের অনুপাত কত? https://qnafy.com/17459/%E0%A6%A6%E0%A7%81%E0%A6%87%E0%A6%9F%E0%A6%BF-%E0%A6%AC%E0%A6%B0%E0%A7%8D%E0%A6%97%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A7%87%E0%A6%B0-%E0%A6%AC%E0%A6%BE%E0%A6%B9%E0%A7%81%E0%A6%B0-%E0%A6%A6%E0%A7%88%E0%A6%B0%E0%A7%8D%E0%A6%98%E0%A7%8D%E0%A6%AF-%E0%A6%AF%E0%A6%A5%E0%A6%BE%E0%A6%95%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A7%87-%24a%24-%E0%A6%AE%E0%A6%BF%E0%A6%9F%E0%A6%BE%E0%A6%B0-%E0%A6%8F%E0%A6%AC%E0%A6%82-%24b%24-%E0%A6%AE%E0%A6%BF%E0%A6%9F%E0%A6%BE%E0%A6%B0-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%8F%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A6%AB%E0%A6%B2%E0%A7%87%E0%A6%B0-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%E0%A6%95%E0%A6%A4?show=19034#a19034 Algebra https://qnafy.com/17459/%E0%A6%A6%E0%A7%81%E0%A6%87%E0%A6%9F%E0%A6%BF-%E0%A6%AC%E0%A6%B0%E0%A7%8D%E0%A6%97%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A7%87%E0%A6%B0-%E0%A6%AC%E0%A6%BE%E0%A6%B9%E0%A7%81%E0%A6%B0-%E0%A6%A6%E0%A7%88%E0%A6%B0%E0%A7%8D%E0%A6%98%E0%A7%8D%E0%A6%AF-%E0%A6%AF%E0%A6%A5%E0%A6%BE%E0%A6%95%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A7%87-%24a%24-%E0%A6%AE%E0%A6%BF%E0%A6%9F%E0%A6%BE%E0%A6%B0-%E0%A6%8F%E0%A6%AC%E0%A6%82-%24b%24-%E0%A6%AE%E0%A6%BF%E0%A6%9F%E0%A6%BE%E0%A6%B0-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%8F%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A6%AB%E0%A6%B2%E0%A7%87%E0%A6%B0-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%E0%A6%95%E0%A6%A4?show=19034#a19034 Wed, 24 Sep 2025 18:12:03 +0000 Answered: একটি বৃত্তক্ষেত্রের ক্ষেত্রফল একটি বর্গক্ষেত্রের ক্ষেত্রফলের সমান হলে, এদের পরিসীমার অনুপাত নির্ণয় কর। https://qnafy.com/17458/%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%AC%E0%A7%83%E0%A6%A4%E0%A7%8D%E0%A6%A4%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A7%87%E0%A6%B0-%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A6%AB%E0%A6%B2-%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%AC%E0%A6%B0%E0%A7%8D%E0%A6%97%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A7%87%E0%A6%B0-%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A6%AB%E0%A6%B2%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%8F%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%AA%E0%A6%B0%E0%A6%BF%E0%A6%B8%E0%A7%80%E0%A6%AE%E0%A6%BE%E0%A6%B0-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4?show=19032#a19032 Algebra https://qnafy.com/17458/%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%AC%E0%A7%83%E0%A6%A4%E0%A7%8D%E0%A6%A4%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A7%87%E0%A6%B0-%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A6%AB%E0%A6%B2-%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%AC%E0%A6%B0%E0%A7%8D%E0%A6%97%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A7%87%E0%A6%B0-%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A6%AB%E0%A6%B2%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%8F%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%AA%E0%A6%B0%E0%A6%BF%E0%A6%B8%E0%A7%80%E0%A6%AE%E0%A6%BE%E0%A6%B0-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4?show=19032#a19032 Wed, 24 Sep 2025 17:55:49 +0000 Answered: দুইটি সংখ্যার অনুপাত $3:4$ এবং এদের ল.সা.গু. $180$। সংখ্যা দুইটি নির্ণয় কর। https://qnafy.com/17457/%E0%A6%A6%E0%A7%81%E0%A6%87%E0%A6%9F%E0%A6%BF-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE%E0%A6%B0-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%243-4%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%E0%A6%8F%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B2-%E0%A6%B8%E0%A6%BE-%E0%A6%97%E0%A7%81-%24180%24%E0%A5%A4-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE-%E0%A6%A6%E0%A7%81%E0%A6%87%E0%A6%9F%E0%A6%BF-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4?show=19031#a19031 Algebra https://qnafy.com/17457/%E0%A6%A6%E0%A7%81%E0%A6%87%E0%A6%9F%E0%A6%BF-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE%E0%A6%B0-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%243-4%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%E0%A6%8F%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%B2-%E0%A6%B8%E0%A6%BE-%E0%A6%97%E0%A7%81-%24180%24%E0%A5%A4-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE-%E0%A6%A6%E0%A7%81%E0%A6%87%E0%A6%9F%E0%A6%BF-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4?show=19031#a19031 Wed, 24 Sep 2025 17:46:05 +0000 Answered: একদিন তোমাদের ক্লাসে দেখা গেল অনুপস্থিত ও উপস্থিত শিক্ষার্থী সংখ্যার অনুপাত $1:4$, অনুপস্থিত শিক্ষার্থী সংখ্যাকে মোট শিক্ষার্থী সংখ্যার শতকরায় প্রকাশ কর। https://qnafy.com/17456/%E0%A6%8F%E0%A6%95%E0%A6%A6%E0%A6%BF%E0%A6%A8-%E0%A6%A4%E0%A7%8B%E0%A6%AE%E0%A6%BE%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%95%E0%A7%8D%E0%A6%B2%E0%A6%BE%E0%A6%B8%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE-%E0%A6%97%E0%A7%87%E0%A6%B2-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%B8%E0%A7%8D%E0%A6%A5%E0%A6%BF%E0%A6%A4-%E0%A6%93-%E0%A6%89%E0%A6%AA%E0%A6%B8%E0%A7%8D%E0%A6%A5%E0%A6%BF%E0%A6%A4-%E0%A6%B6%E0%A6%BF%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A6%BE%E0%A6%B0%E0%A7%8D%E0%A6%A5%E0%A7%80-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE%E0%A6%B0-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%241-4%24-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%B8%E0%A7%8D%E0%A6%A5%E0%A6%BF%E0%A6%A4-%E0%A6%B6%E0%A6%BF%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A6%BE%E0%A6%B0%E0%A7%8D%E0%A6%A5%E0%A7%80-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE%E0%A6%95%E0%A7%87-%E0%A6%AE%E0%A7%8B%E0%A6%9F-%E0%A6%B6%E0%A6%BF%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A6%BE%E0%A6%B0%E0%A7%8D%E0%A6%A5%E0%A7%80-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE%E0%A6%B0-%E0%A6%B6%E0%A6%A4%E0%A6%95%E0%A6%B0%E0%A6%BE%E0%A7%9F-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%95%E0%A6%BE%E0%A6%B6-%E0%A6%95%E0%A6%B0%E0%A5%A4?show=19030#a19030 Algebra https://qnafy.com/17456/%E0%A6%8F%E0%A6%95%E0%A6%A6%E0%A6%BF%E0%A6%A8-%E0%A6%A4%E0%A7%8B%E0%A6%AE%E0%A6%BE%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%95%E0%A7%8D%E0%A6%B2%E0%A6%BE%E0%A6%B8%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE-%E0%A6%97%E0%A7%87%E0%A6%B2-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%B8%E0%A7%8D%E0%A6%A5%E0%A6%BF%E0%A6%A4-%E0%A6%93-%E0%A6%89%E0%A6%AA%E0%A6%B8%E0%A7%8D%E0%A6%A5%E0%A6%BF%E0%A6%A4-%E0%A6%B6%E0%A6%BF%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A6%BE%E0%A6%B0%E0%A7%8D%E0%A6%A5%E0%A7%80-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE%E0%A6%B0-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%241-4%24-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%B8%E0%A7%8D%E0%A6%A5%E0%A6%BF%E0%A6%A4-%E0%A6%B6%E0%A6%BF%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A6%BE%E0%A6%B0%E0%A7%8D%E0%A6%A5%E0%A7%80-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE%E0%A6%95%E0%A7%87-%E0%A6%AE%E0%A7%8B%E0%A6%9F-%E0%A6%B6%E0%A6%BF%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A6%BE%E0%A6%B0%E0%A7%8D%E0%A6%A5%E0%A7%80-%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE%E0%A6%B0-%E0%A6%B6%E0%A6%A4%E0%A6%95%E0%A6%B0%E0%A6%BE%E0%A7%9F-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%95%E0%A6%BE%E0%A6%B6-%E0%A6%95%E0%A6%B0%E0%A5%A4?show=19030#a19030 Wed, 24 Sep 2025 16:33:59 +0000 Answered: একটি দ্রব্য ক্রয় করে $28\%$ ক্ষতিতে বিক্রয় করা হলো। বিক্রয়মূল্য ও ক্রয়মূল্যের অনুপাত নির্ণয় কর। https://qnafy.com/17455/%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%A6%E0%A7%8D%E0%A6%B0%E0%A6%AC%E0%A7%8D%E0%A6%AF-%E0%A6%95%E0%A7%8D%E0%A6%B0%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A7%87-%2428-%25%24-%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A6%A4%E0%A6%BF%E0%A6%A4%E0%A7%87-%E0%A6%AC%E0%A6%BF%E0%A6%95%E0%A7%8D%E0%A6%B0%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A6%BE-%E0%A6%B9%E0%A6%B2%E0%A7%8B%E0%A5%A4-%E0%A6%AC%E0%A6%BF%E0%A6%95%E0%A7%8D%E0%A6%B0%E0%A7%9F%E0%A6%AE%E0%A7%82%E0%A6%B2%E0%A7%8D%E0%A6%AF-%E0%A6%93-%E0%A6%95%E0%A7%8D%E0%A6%B0%E0%A7%9F%E0%A6%AE%E0%A7%82%E0%A6%B2%E0%A7%8D%E0%A6%AF%E0%A7%87%E0%A6%B0-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4?show=19029#a19029 Algebra https://qnafy.com/17455/%E0%A6%8F%E0%A6%95%E0%A6%9F%E0%A6%BF-%E0%A6%A6%E0%A7%8D%E0%A6%B0%E0%A6%AC%E0%A7%8D%E0%A6%AF-%E0%A6%95%E0%A7%8D%E0%A6%B0%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A7%87-%2428-%25%24-%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A6%A4%E0%A6%BF%E0%A6%A4%E0%A7%87-%E0%A6%AC%E0%A6%BF%E0%A6%95%E0%A7%8D%E0%A6%B0%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A6%BE-%E0%A6%B9%E0%A6%B2%E0%A7%8B%E0%A5%A4-%E0%A6%AC%E0%A6%BF%E0%A6%95%E0%A7%8D%E0%A6%B0%E0%A7%9F%E0%A6%AE%E0%A7%82%E0%A6%B2%E0%A7%8D%E0%A6%AF-%E0%A6%93-%E0%A6%95%E0%A7%8D%E0%A6%B0%E0%A7%9F%E0%A6%AE%E0%A7%82%E0%A6%B2%E0%A7%8D%E0%A6%AF%E0%A7%87%E0%A6%B0-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A7%9F-%E0%A6%95%E0%A6%B0%E0%A5%A4?show=19029#a19029 Wed, 24 Sep 2025 16:18:44 +0000 Answered: পিতা ও পুত্রের বর্তমান বয়সের সমষ্টি $70$ বছর। $7$ বছর পূর্বে তাদের বয়সের অনুপাত ছিল $5:2$। $5$ বছর পরে তাদের বয়সের অনুপাত কত হবে? https://qnafy.com/17454/%E0%A6%AA%E0%A6%BF%E0%A6%A4%E0%A6%BE-%E0%A6%93-%E0%A6%AA%E0%A7%81%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A7%87%E0%A6%B0-%E0%A6%AC%E0%A6%B0%E0%A7%8D%E0%A6%A4%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%AC%E0%A7%9F%E0%A6%B8%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%2470%24-%E0%A6%AC%E0%A6%9B%E0%A6%B0%E0%A5%A4-%247%24-%E0%A6%AC%E0%A6%9B%E0%A6%B0-%E0%A6%AA%E0%A7%82%E0%A6%B0%E0%A7%8D%E0%A6%AC%E0%A7%87-%E0%A6%A4%E0%A6%BE%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%AC%E0%A7%9F%E0%A6%B8%E0%A7%87%E0%A6%B0-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%E0%A6%9B%E0%A6%BF%E0%A6%B2-%245-2%24%E0%A5%A4-%245%24-%E0%A6%AC%E0%A6%9B%E0%A6%B0-%E0%A6%AA%E0%A6%B0%E0%A7%87-%E0%A6%A4%E0%A6%BE%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%AC%E0%A7%9F%E0%A6%B8%E0%A7%87%E0%A6%B0-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%E0%A6%95%E0%A6%A4-%E0%A6%B9%E0%A6%AC%E0%A7%87?show=19028#a19028 Algebra https://qnafy.com/17454/%E0%A6%AA%E0%A6%BF%E0%A6%A4%E0%A6%BE-%E0%A6%93-%E0%A6%AA%E0%A7%81%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A7%87%E0%A6%B0-%E0%A6%AC%E0%A6%B0%E0%A7%8D%E0%A6%A4%E0%A6%AE%E0%A6%BE%E0%A6%A8-%E0%A6%AC%E0%A7%9F%E0%A6%B8%E0%A7%87%E0%A6%B0-%E0%A6%B8%E0%A6%AE%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%BF-%2470%24-%E0%A6%AC%E0%A6%9B%E0%A6%B0%E0%A5%A4-%247%24-%E0%A6%AC%E0%A6%9B%E0%A6%B0-%E0%A6%AA%E0%A7%82%E0%A6%B0%E0%A7%8D%E0%A6%AC%E0%A7%87-%E0%A6%A4%E0%A6%BE%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%AC%E0%A7%9F%E0%A6%B8%E0%A7%87%E0%A6%B0-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%E0%A6%9B%E0%A6%BF%E0%A6%B2-%245-2%24%E0%A5%A4-%245%24-%E0%A6%AC%E0%A6%9B%E0%A6%B0-%E0%A6%AA%E0%A6%B0%E0%A7%87-%E0%A6%A4%E0%A6%BE%E0%A6%A6%E0%A7%87%E0%A6%B0-%E0%A6%AC%E0%A7%9F%E0%A6%B8%E0%A7%87%E0%A6%B0-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%E0%A6%95%E0%A6%A4-%E0%A6%B9%E0%A6%AC%E0%A7%87?show=19028#a19028 Wed, 24 Sep 2025 16:10:39 +0000 Answered: যদি $a:b=b:c$ হয়, তবে প্রমাণ কর যে, $\frac{a}{c}=\frac{a^2+b^2}{b^2+c^2}$ https://qnafy.com/17453/%E0%A6%AF%E0%A6%A6%E0%A6%BF-%24a-b-b-c%24-%E0%A6%B9%E0%A7%9F-%E0%A6%A4%E0%A6%AC%E0%A7%87-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A6%BE%E0%A6%A3-%E0%A6%95%E0%A6%B0-%E0%A6%AF%E0%A7%87-%24-frac-a-c-frac-a-2-b-2-b-2-c-2-%24?show=19026#a19026 Algebra https://qnafy.com/17453/%E0%A6%AF%E0%A6%A6%E0%A6%BF-%24a-b-b-c%24-%E0%A6%B9%E0%A7%9F-%E0%A6%A4%E0%A6%AC%E0%A7%87-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A6%BE%E0%A6%A3-%E0%A6%95%E0%A6%B0-%E0%A6%AF%E0%A7%87-%24-frac-a-c-frac-a-2-b-2-b-2-c-2-%24?show=19026#a19026 Wed, 24 Sep 2025 15:46:51 +0000 Answered: যদি $a:b=b:c$ হয়, তবে প্রমাণ কর যে, $a^2b^2c^2\left(\frac{1}{a^3}+\frac{1}{b^3}+\frac{1}{c^3}\right)$$=a^3+b^3+c^3$ https://qnafy.com/17452/%E0%A6%AF%E0%A6%A6%E0%A6%BF-%24a-b-b-c%24-%E0%A6%B9%E0%A7%9F-%E0%A6%A4%E0%A6%AC%E0%A7%87-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A6%BE%E0%A6%A3-%E0%A6%95%E0%A6%B0-%E0%A6%AF%E0%A7%87-%24a-2b-2c-2-left-frac-1-a-3-frac-1-b-3-frac-1-c-3-right-%24%24-a-3-b-3-c-3%24?show=19024#a19024 Algebra https://qnafy.com/17452/%E0%A6%AF%E0%A6%A6%E0%A6%BF-%24a-b-b-c%24-%E0%A6%B9%E0%A7%9F-%E0%A6%A4%E0%A6%AC%E0%A7%87-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A6%BE%E0%A6%A3-%E0%A6%95%E0%A6%B0-%E0%A6%AF%E0%A7%87-%24a-2b-2c-2-left-frac-1-a-3-frac-1-b-3-frac-1-c-3-right-%24%24-a-3-b-3-c-3%24?show=19024#a19024 Wed, 24 Sep 2025 13:19:35 +0000 Answered: যদি $a:b=b:c$ হয়, তবে প্রমাণ কর যে, $\frac{abc\left(a+b+c\right)^3}{\left(ab+bc+ca\right)^3}=1$ https://qnafy.com/17451/%E0%A6%AF%E0%A6%A6%E0%A6%BF-%24a-b-b-c%24-%E0%A6%B9%E0%A7%9F-%E0%A6%A4%E0%A6%AC%E0%A7%87-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A6%BE%E0%A6%A3-%E0%A6%95%E0%A6%B0-%E0%A6%AF%E0%A7%87-%24-frac-abc-left-a-b-c-right-3-left-ab-bc-ca-right-3-1%24?show=19023#a19023 Algebra https://qnafy.com/17451/%E0%A6%AF%E0%A6%A6%E0%A6%BF-%24a-b-b-c%24-%E0%A6%B9%E0%A7%9F-%E0%A6%A4%E0%A6%AC%E0%A7%87-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A6%BE%E0%A6%A3-%E0%A6%95%E0%A6%B0-%E0%A6%AF%E0%A7%87-%24-frac-abc-left-a-b-c-right-3-left-ab-bc-ca-right-3-1%24?show=19023#a19023 Wed, 24 Sep 2025 13:11:22 +0000 Answered: সমাধান কর: $\frac{1-\sqrt{1-x}}{1+\sqrt{1-x}}=\frac13$ https://qnafy.com/17450/%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A7%E0%A6%BE%E0%A6%A8-%E0%A6%95%E0%A6%B0-%24-frac-1-sqrt-1-x-1-sqrt-1-x-frac13%24?show=19022#a19022 Algebra https://qnafy.com/17450/%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A7%E0%A6%BE%E0%A6%A8-%E0%A6%95%E0%A6%B0-%24-frac-1-sqrt-1-x-1-sqrt-1-x-frac13%24?show=19022#a19022 Wed, 24 Sep 2025 13:01:29 +0000 Answered: সমাধান কর: $\frac{a+x-\sqrt{a^2-x^2}}{a+x+\sqrt{a^2-x^2}}=\frac{b}{x}$,$2a>b>0$ এবং $x\neq0$ https://qnafy.com/17449/%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A7%E0%A6%BE%E0%A6%A8-%E0%A6%95%E0%A6%B0-%24-frac-a-x-sqrt-a-2-x-2-a-x-sqrt-a-2-x-2-frac-b-x-%24-%242a-b-0%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%24x-neq0%24?show=18866#a18866 Algebra https://qnafy.com/17449/%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A7%E0%A6%BE%E0%A6%A8-%E0%A6%95%E0%A6%B0-%24-frac-a-x-sqrt-a-2-x-2-a-x-sqrt-a-2-x-2-frac-b-x-%24-%242a-b-0%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%24x-neq0%24?show=18866#a18866 Sun, 21 Sep 2025 15:29:41 +0000 Answered: সমাধান কর: $81\left(\frac{1-x}{1+x}\right)^3=\frac{1+x}{1-x}$ https://qnafy.com/17448/%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A7%E0%A6%BE%E0%A6%A8-%E0%A6%95%E0%A6%B0-%2481-left-frac-1-x-1-x-right-3-frac-1-x-1-x-%24?show=18843#a18843 Algebra https://qnafy.com/17448/%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A7%E0%A6%BE%E0%A6%A8-%E0%A6%95%E0%A6%B0-%2481-left-frac-1-x-1-x-right-3-frac-1-x-1-x-%24?show=18843#a18843 Sun, 21 Sep 2025 15:10:22 +0000 Answered: $\frac{a}{b}=\frac{b}{c}=\frac{c}{d}$ হলে, দেখাও যে, $\frac{a^3+b^3}{b^3+c^3}=\frac{b^3+c^3}{c^3+d^3}$ https://qnafy.com/17447/%24-frac-a-b-frac-b-c-frac-c-d-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%24-frac-a-3-b-3-b-3-c-3-frac-b-3-c-3-c-3-d-3-%24?show=18824#a18824 Algebra https://qnafy.com/17447/%24-frac-a-b-frac-b-c-frac-c-d-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%24-frac-a-3-b-3-b-3-c-3-frac-b-3-c-3-c-3-d-3-%24?show=18824#a18824 Sun, 21 Sep 2025 14:53:43 +0000 Answered: $\frac{a}{b}=\frac{b}{c}=\frac{c}{d}$ হলে, দেখাও যে, $\left(a^2+b^2+c^2\right)\left(b^2+c^2+d^2\right)=$$\left(ab+bc+cd\right)^2$ https://qnafy.com/17446/%24-frac-a-b-frac-b-c-frac-c-d-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%24-left-a-2-b-2-c-2-right-left-b-2-c-2-d-2-right-%24%24-left-ab-bc-cd-right-2%24?show=18771#a18771 Algebra https://qnafy.com/17446/%24-frac-a-b-frac-b-c-frac-c-d-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%24-left-a-2-b-2-c-2-right-left-b-2-c-2-d-2-right-%24%24-left-ab-bc-cd-right-2%24?show=18771#a18771 Fri, 19 Sep 2025 18:17:21 +0000 Answered: $x=\frac{4ab}{a+b}$ হলে, দেখাও যে, $\frac{x+2a}{x-2a}+\frac{x+2b}{x-2b}=2$, $a\neq b$ https://qnafy.com/17445/%24x-frac-4ab-a-b-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%24-frac-x-2a-x-2a-frac-x-2b-x-2b-2%24-%24a-neq-b%24?show=18770#a18770 Algebra https://qnafy.com/17445/%24x-frac-4ab-a-b-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%24-frac-x-2a-x-2a-frac-x-2b-x-2b-2%24-%24a-neq-b%24?show=18770#a18770 Fri, 19 Sep 2025 16:24:59 +0000 Answered: $x=\frac{\sqrt[3]{m+1}+\sqrt[3]{m-1}}{\sqrt[3]{m+1}-\sqrt[3]{m-1}}$ হলে, প্রমাণ কর যে, $x^3-3mx^2+3x-m=0$ https://qnafy.com/17444/%24x-frac-sqrt-3-m-1-sqrt-3-m-1-sqrt-3-m-1-sqrt-3-m-1-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A6%BE%E0%A6%A3-%E0%A6%95%E0%A6%B0-%E0%A6%AF%E0%A7%87-%24x-3-3mx-2-3x-m-0%24?show=18769#a18769 Algebra https://qnafy.com/17444/%24x-frac-sqrt-3-m-1-sqrt-3-m-1-sqrt-3-m-1-sqrt-3-m-1-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A6%BE%E0%A6%A3-%E0%A6%95%E0%A6%B0-%E0%A6%AF%E0%A7%87-%24x-3-3mx-2-3x-m-0%24?show=18769#a18769 Fri, 19 Sep 2025 16:11:14 +0000 Answered: $x=\frac{\sqrt{2a+3b}+\sqrt{2a-3b}}{\sqrt{2a+3b}-\sqrt{2a-3b}}$ হলে, দেখাও যে, $3bx^2-4ax+3b=0$ https://qnafy.com/17443/%24x-frac-sqrt-2a-3b-sqrt-2a-3b-sqrt-2a-3b-sqrt-2a-3b-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%243bx-2-4ax-3b-0%24?show=18768#a18768 Algebra https://qnafy.com/17443/%24x-frac-sqrt-2a-3b-sqrt-2a-3b-sqrt-2a-3b-sqrt-2a-3b-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%243bx-2-4ax-3b-0%24?show=18768#a18768 Fri, 19 Sep 2025 15:55:41 +0000 Answered: $\frac{a^2+b^2}{b^2+c^2}=\frac{\left(a+b\right)^2}{\left(b+c\right)^2}$ হলে, দেখাও যে, $a$, $b$, $c$ ক্রমিক সমানুপাতী। https://qnafy.com/17442/%24-frac-a-2-b-2-b-2-c-2-frac-left-a-b-right-2-left-b-c-right-2-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%24a%24-%24b%24-%24c%24-%E0%A6%95%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A6%BF%E0%A6%95-%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4%E0%A7%80%E0%A5%A4?show=18767#a18767 Algebra https://qnafy.com/17442/%24-frac-a-2-b-2-b-2-c-2-frac-left-a-b-right-2-left-b-c-right-2-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%24a%24-%24b%24-%24c%24-%E0%A6%95%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A6%BF%E0%A6%95-%E0%A6%B8%E0%A6%AE%E0%A6%BE%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4%E0%A7%80%E0%A5%A4?show=18767#a18767 Fri, 19 Sep 2025 15:39:10 +0000 Answered: $\frac{x}{b+c}=\frac{y}{c+a}=\frac{z}{a+b}$ হলে, প্রমাণ কর যে, $\frac{a}{y+z-x}=\frac{b}{z+x-y}=\frac{c}{x+y-z}$। https://qnafy.com/17441/%24-frac-x-b-c-frac-y-c-a-frac-z-a-b-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A6%BE%E0%A6%A3-%E0%A6%95%E0%A6%B0-%E0%A6%AF%E0%A7%87-%24-frac-a-y-z-x-frac-b-z-x-y-frac-c-x-y-z-%24%E0%A5%A4?show=18766#a18766 Algebra https://qnafy.com/17441/%24-frac-x-b-c-frac-y-c-a-frac-z-a-b-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A6%BE%E0%A6%A3-%E0%A6%95%E0%A6%B0-%E0%A6%AF%E0%A7%87-%24-frac-a-y-z-x-frac-b-z-x-y-frac-c-x-y-z-%24%E0%A5%A4?show=18766#a18766 Fri, 19 Sep 2025 15:22:34 +0000 Answered: $\frac{bz-cy}{a}=\frac{cx-az}{b}=\frac{ay-bx}{c}$ হলে, প্রমাণ কর যে, $\frac{x}{a}=\frac{y}{b}=\frac{z}{c}$। https://qnafy.com/17440/%24-frac-bz-cy-a-frac-cx-az-b-frac-ay-bx-c-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A6%BE%E0%A6%A3-%E0%A6%95%E0%A6%B0-%E0%A6%AF%E0%A7%87-%24-frac-x-a-frac-y-b-frac-z-c-%24%E0%A5%A4?show=18317#a18317 Algebra https://qnafy.com/17440/%24-frac-bz-cy-a-frac-cx-az-b-frac-ay-bx-c-%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A6%BE%E0%A6%A3-%E0%A6%95%E0%A6%B0-%E0%A6%AF%E0%A7%87-%24-frac-x-a-frac-y-b-frac-z-c-%24%E0%A5%A4?show=18317#a18317 Fri, 12 Sep 2025 07:50:05 +0000 Answered: $\frac{a+b-c}{a+b}=\frac{b+c-a}{b+c}=\frac{c+a-b}{c+a}$ এবং $a+b+c \neq 0$ হলে, প্রমাণ কর যে, $a=b=c$ https://qnafy.com/17439/%24-frac-a-b-c-a-b-frac-b-c-a-b-c-frac-c-a-b-c-a-%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%24a-b-c-neq-0%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A6%BE%E0%A6%A3-%E0%A6%95%E0%A6%B0-%E0%A6%AF%E0%A7%87-%24a-b-c%24?show=18316#a18316 Algebra https://qnafy.com/17439/%24-frac-a-b-c-a-b-frac-b-c-a-b-c-frac-c-a-b-c-a-%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%24a-b-c-neq-0%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A6%BE%E0%A6%A3-%E0%A6%95%E0%A6%B0-%E0%A6%AF%E0%A7%87-%24a-b-c%24?show=18316#a18316 Fri, 12 Sep 2025 07:19:42 +0000 Answered: $\frac{x}{xa+yb+zc}=$$\frac{y}{ya+zb+xc}=$$\frac{z}{za+xb+yc}$ এবং $x+y+z \neq 0$ হলে, দেখাও যে, প্রতিটি অনুপাত $=\frac{1}{a+b+c}$। https://qnafy.com/17438/%24-frac-x-xa-yb-zc-%24%24-frac-y-ya-zb-xc-%24%24-frac-z-za-xb-yc-%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%24x-y-z-neq-0%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A4%E0%A6%BF%E0%A6%9F%E0%A6%BF-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%24-frac-1-a-b-c-%24%E0%A5%A4?show=17700#a17700 Algebra https://qnafy.com/17438/%24-frac-x-xa-yb-zc-%24%24-frac-y-ya-zb-xc-%24%24-frac-z-za-xb-yc-%24-%E0%A6%8F%E0%A6%AC%E0%A6%82-%24x-y-z-neq-0%24-%E0%A6%B9%E0%A6%B2%E0%A7%87-%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93-%E0%A6%AF%E0%A7%87-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%A4%E0%A6%BF%E0%A6%9F%E0%A6%BF-%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AA%E0%A6%BE%E0%A6%A4-%24-frac-1-a-b-c-%24%E0%A5%A4?show=17700#a17700 Tue, 09 Sep 2025 16:55:03 +0000 Answered: যদি $(a+b+c)p=$$(b+c-a)q=$$(c+a-b)r=$$(a+b-c)s$ হয়, তবে প্রমাণ কর যে, $\frac{1}{q}+\frac{1}{r}+\frac{1}{s}=\frac{1}{p}$। https://qnafy.com/17437/%E0%A6%AF%E0%A6%A6%E0%A6%BF-%24-a-b-c-p-%24%24-b-c-a-q-%24%24-c-a-b-r-%24%24-a-b-c-s%24-%E0%A6%B9%E0%A7%9F-%E0%A6%A4%E0%A6%AC%E0%A7%87-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A6%BE%E0%A6%A3-%E0%A6%95%E0%A6%B0-%E0%A6%AF%E0%A7%87-%24-frac-1-q-frac-1-r-frac-1-s-frac-1-p-%24%E0%A5%A4?show=17698#a17698 Algebra https://qnafy.com/17437/%E0%A6%AF%E0%A6%A6%E0%A6%BF-%24-a-b-c-p-%24%24-b-c-a-q-%24%24-c-a-b-r-%24%24-a-b-c-s%24-%E0%A6%B9%E0%A7%9F-%E0%A6%A4%E0%A6%AC%E0%A7%87-%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%AE%E0%A6%BE%E0%A6%A3-%E0%A6%95%E0%A6%B0-%E0%A6%AF%E0%A7%87-%24-frac-1-q-frac-1-r-frac-1-s-frac-1-p-%24%E0%A5%A4?show=17698#a17698 Tue, 09 Sep 2025 16:30:24 +0000