Question

If y is the reciprocal of x, then find the reciprocal of $y^2$ in terms of x.

Answer 1

Given, $\frac{1}{x}=y$ as y is the reciprocal of x. ....... (i)
Now, reciprocal of $y^2=\frac{1}{y^2}=\frac{1}{{\left(\frac{1}{x}\right)}^2}$ [from Eq. (i)]
$=x^2$