C-11-Q064mediumsingle_mcq

If $a:b = b:c$ , then $\dfrac{a^2 + b^2}{b^2 + c^2}$ equals—

a $\dfrac{a}{c}$
b $\dfrac{b}{c}$
c $\dfrac{c}{a}$
d $1$

ব্যাখ্যা

Since $a:b=b:c$ , set $\dfrac{a}{b}=\dfrac{b}{c}=k$ , so $b^2=ac$ and $a=bk,\ b=ck$ . Then $\dfrac{a^2+b^2}{b^2+c^2}=\dfrac{k^2(b^2+c^2)}{b^2+c^2}=k^2=\dfrac{a}{c}$ , because $\dfrac{a}{c}=\dfrac{a}{b}\cdot\dfrac{b}{c}=k^2$ .

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Algebraic Ratio and Proportion — সব প্রশ্ন দেখুন (180টি) →

If $a:b = b:c$ , then $\dfrac{a^2 + b^2}{b^2 + c^2}$ equals—

\dfrac{a}{c}

\dfrac{b}{c}

\dfrac{c}{a}

1

If a:b=b:ca:b = b:ca:b=b:c, then a2+b2b2+c2\dfrac{a^2 + b^2}{b^2 + c^2}b2+c2a2+b2​ equals—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If a:b=b:ca:b = b:ca:b=b:c, then a2+b2b2+c2\dfrac{a^2 + b^2}{b^2 + c^2}b2+c2a2+b2​ equals—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If $a:b = b:c$ , then $\dfrac{a^2 + b^2}{b^2 + c^2}$ equals—

If $a:b = b:c$ , then $\dfrac{a^2 + b^2}{b^2 + c^2}$ equals—