Question

In the following question out of the four options only one is correct, write the correct answer.

If $\frac{-4}{3}y=-\frac{3}{4},$ then y is equal to:

(a) ${\left(\frac{-3}{4}\right)}^2$

(b) ${\left(\frac{-4}{3}\right)}^2$

(c) ${\left(\frac{3}{4}\right)}^2$

(d) ${\left(\frac{4}{3}\right)}^2$

Answer 1

Given, $-\frac{4}{3}y=-\frac{3}{4}$
$\Rightarrow y=\frac{-3}{4}\times \frac{-3}{4}$
$\Rightarrow y={\left(\frac{-3}{4}\right)}^2$
Therefore, the value of y is ${\left(\frac{-3}{4}\right)}^2$
Hence, the correct option is (a) $(\frac{-3}{4}{)}^2$