Question

If y be the reciprocal of x, then the reciprocal of y2 in terms of x will be?

Answer 1

Answer:

2/x is the answer of this question

Answer 2

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As per the question,

y is reciprocal of x

i.e $\rm \frac { 1 } { x } = y$

Now taking square at both sides

$\implies \rm \frac { 1 } { x^2 } = y^2$ -------(1)

We need to find the reciprocal of $<strong>y^2</strong>$in terms of x

i.e $\rm \frac {1 } { y^2 } = ?$ -------(2)

Putting value of $y^2$ from equation (1) to equation (2).

$\implies \rm \frac { 1 } { y^2 }$ = 1 / 1/$x^2$

Now we got,

$\implies \rm \frac { 1 } { y^2 } = x^2$

So, the reciprocal of $<strong>y^2</strong>$ in terms of x will be $<strong>x^2</strong>$