Question

If $\frac{p}{q}=\frac{6}{5}$ find the value of the following ratio: $\frac{p^2+2q^2}{2q^2}$. Mark TRUE if value is $\frac{43}{25}$, otherwise mark FALSE.

• A. True
• B. False

Answer 1

The correct option is A True

Given that,

$\frac{p}{q}=\frac{6}{5}$

$\therefore p=6xandq=5x$

$\therefore \frac{p^2+2q^2}{2q^2}=\frac{{\left(6x\right)}^2+2{\left(5x\right)}^2}{2{\left(5x\right)}^2}$

$=\frac{86x^2}{50x^2}$

$=\frac{43}{25}$

Hence the answer is TRUE.