C-11-Q098mediumsingle_mcq

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

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

ব্যাখ্যা

From $a:b=b:c$ we get $b^2=ac$ , and the common ratio gives $\frac{a}{c}=\frac{a^2}{b^2}$ . Substituting reduces $\frac{a^2+b^2}{b^2+c^2}$ to $\frac{a}{c}$ .

এই অধ্যায়ের আরও প্রশ্ন

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

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

\dfrac{a}{c}

\dfrac{b}{a}

\dfrac{c}{b}

1

ব্যাখ্যা

From $a:b=b:c$ we get $b^2=ac$ , and the common ratio gives $\frac{a}{c}=\frac{a^2}{b^2}$ . Substituting reduces $\frac{a^2+b^2}{b^2+c^2}$ to $\frac{a}{c}$ .

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

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

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

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