Question & Answer - Recent questions tagged সত্যতা দেখাও https://qna.enoteshare.com/tag/%E0%A6%B8%E0%A6%A4%E0%A7%8D%E0%A6%AF%E0%A6%A4%E0%A6%BE%20%E0%A6%A6%E0%A7%87%E0%A6%96%E0%A6%BE%E0%A6%93 Powered by Question2Answer $\frac{a}{b}=\frac{b}{c}=\frac{c}{d}$ হলে, দেখাও যে, $\frac{a^3+b^3}{b^3+c^3}=\frac{b^3+c^3}{c^3+d^3}$ https://qna.enoteshare.com/17447/ Algebra https://qna.enoteshare.com/17447/ Sun, 07 Sep 2025 18:14:49 +0000 $\frac{a}{b}=\frac{b}{c}=\frac{c}{d}$ হলে, দেখাও যে, $\left(a^2+b^2+c^2\right)\left(b^2+c^2+d^2\right)=$$\left(ab+bc+cd\right)^2$ https://qna.enoteshare.com/17446/ Algebra https://qna.enoteshare.com/17446/ Sun, 07 Sep 2025 18:14:20 +0000 $x=\frac{4ab}{a+b}$ হলে, দেখাও যে, $\frac{x+2a}{x-2a}+\frac{x+2b}{x-2b}=2$, $a\neq b$ https://qna.enoteshare.com/17445/ Algebra https://qna.enoteshare.com/17445/ Sun, 07 Sep 2025 18:13:26 +0000 $x=\frac{\sqrt{2a+3b}+\sqrt{2a-3b}}{\sqrt{2a+3b}-\sqrt{2a-3b}}$ হলে, দেখাও যে, $3bx^2-4ax+3b=0$ https://qna.enoteshare.com/17443/ Algebra https://qna.enoteshare.com/17443/ Sun, 07 Sep 2025 18:12:51 +0000 $\frac{a^2+b^2}{b^2+c^2}=\frac{\left(a+b\right)^2}{\left(b+c\right)^2}$ হলে, দেখাও যে, $a$, $b$, $c$ ক্রমিক সমানুপাতী। https://qna.enoteshare.com/17442/ Algebra https://qna.enoteshare.com/17442/ Sun, 07 Sep 2025 18:12:37 +0000 $\frac{x}{xa+yb+zc}=$$\frac{y}{ya+zb+xc}=$$\frac{z}{za+xb+yc}$ এবং $x+y+z \neq 0$ হলে, দেখাও যে, প্রতিটি অনুপাত $=\frac{1}{a+b+c}$। https://qna.enoteshare.com/17438/ Algebra https://qna.enoteshare.com/17438/ Sun, 07 Sep 2025 18:11:13 +0000 যদি $lx=my=nz$ হয়, তবে দেখাও যে, $\frac{x^2}{yz}+\frac{y^2}{zx}+\frac{z^2}{xy}=$$\frac{mn}{l^2}+\frac{nl}{m^2}+\frac{lm}{n^2}$। https://qna.enoteshare.com/17436/ Algebra https://qna.enoteshare.com/17436/ Sun, 07 Sep 2025 18:10:32 +0000 যদি $\frac{p}{q}=\frac{a^2}{b^2}$ এবং $\frac{a}{b}=\frac{\sqrt{a+q}}{\sqrt{a-q}}$ হয়, তবে দেখাও যে, $\frac{p+q}{a}=\frac{p-q}{q}$। https://qna.enoteshare.com/17435/ Algebra https://qna.enoteshare.com/17435/ Sun, 07 Sep 2025 18:09:47 +0000 দেখাও যে, $5\log_{10}5-\log_{10}25=\log_{10}125$ https://qna.enoteshare.com/14916/ Algebra https://qna.enoteshare.com/14916/ Thu, 24 Jul 2025 18:11:02 +0000 দেখাও যে, $\log_{10}\frac{50}{147}=\log_{10}2+\log_{10}5-\log_{10}3-2\log_{10}7$ https://qna.enoteshare.com/14915/ Algebra https://qna.enoteshare.com/14915/ Thu, 24 Jul 2025 18:09:58 +0000 দেখাও যে, $3\log_{10}2+2\log_{10}3+\log_{10}5=\log_{10}360$ https://qna.enoteshare.com/14914/ Algebra https://qna.enoteshare.com/14914/ Thu, 24 Jul 2025 18:08:42 +0000 If $a^2+b^2=23ab$ then show that $\log a+ \log b=2 \log \left(\frac{a+b}{5}\right)$ https://qna.enoteshare.com/14903/ Algebra https://qna.enoteshare.com/14903/ Thu, 24 Jul 2025 10:41:17 +0000 যদি $a^x=b$, $b^y=c$ এবং $c^z=a$ হয়, তবে দেখাও যে, $xyz=1$ https://qna.enoteshare.com/14850/ Algebra https://qna.enoteshare.com/14850/ Tue, 22 Jul 2025 15:44:16 +0000 দেওখাও যে, $(x+1)(x+2)$$(3x-1)(3x-4)$$=(3x^2+2x-1)$$(3x^2+2x-8)$ https://qna.enoteshare.com/14566/ Algebra https://qna.enoteshare.com/14566/ Thu, 10 Jul 2025 16:37:09 +0000 যদি $a+b=m$, $a^2+b^2=n$ এবং $a^3+b^3=p^3$ হয়, তবে দেখাও যে, $m^3+2p^3=3mn$ https://qna.enoteshare.com/14440/ Algebra https://qna.enoteshare.com/14440/ Mon, 07 Jul 2025 13:22:15 +0000 যদি $a-\frac1a=1$ হয়, তবে দেখাও যে, $a^3-\frac{1}{a^3}=4$ https://qna.enoteshare.com/14435/ Algebra https://qna.enoteshare.com/14435/ Mon, 07 Jul 2025 13:02:47 +0000 $p-q=r$ হলে, দেখাও যে, $p^3-q^3-r^3=3pqr$ https://qna.enoteshare.com/14433/ Algebra https://qna.enoteshare.com/14433/ Mon, 07 Jul 2025 12:56:01 +0000 $2x-\frac{2}{x}=3$ হলে, দেখাও যে, $8\left(x^3-\frac{1}{x^3}\right)=63$ https://qna.enoteshare.com/14432/ Algebra https://qna.enoteshare.com/14432/ Mon, 07 Jul 2025 12:53:15 +0000 $a+\frac1a=2$ হলে, দেখাও যে, $a^2+\frac1{a^2}=a^4+\frac1{a^4}$ https://qna.enoteshare.com/14378/ Algebra https://qna.enoteshare.com/14378/ Sat, 05 Jul 2025 15:11:56 +0000