C-11-Q065mediumsingle_mcq

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

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

ব্যাখ্যা

With $\dfrac{a}{b}=\dfrac{b}{c}=k$ , we have $\dfrac{a+b}{b+c}=\dfrac{bk+ck}{b+c}=k$ . Since $\dfrac{a}{c}=k^2$ , it follows that $k=\sqrt{\dfrac{a}{c}}$ .

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

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

\sqrt{\dfrac{a}{c}}

\dfrac{a}{c}

\dfrac{c}{a}

\sqrt{\dfrac{c}{a}}

ব্যাখ্যা

With $\dfrac{a}{b}=\dfrac{b}{c}=k$ , we have $\dfrac{a+b}{b+c}=\dfrac{bk+ck}{b+c}=k$ . Since $\dfrac{a}{c}=k^2$ , it follows that $k=\sqrt{\dfrac{a}{c}}$ .

If a:b=b:ca:b = b:ca:b=b:c, then a+bb+c\dfrac{a+b}{b+c}b+ca+b​ equals—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If a:b=b:ca:b = b:ca:b=b:c, then a+bb+c\dfrac{a+b}{b+c}b+ca+b​ equals—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

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

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