Question

if y be the reciprocal of x then the reciprocal of y square in terms of x will be

Answer 1

y is reciprocal of x
=> x = 1/y

similarly,
=> y = 1/x
Squaring both sides,
y^2 = 1/(x^2)

Hence, reciprocal of y^2 is 1/(x^2)

Answer 2

Given y is the reciprocal of x
⇒ 1/y = x
⇒ y = 1/x
⇒ y² = (1/x)²
⇒ y² = 1/(x²)
∴ y² = 1/ x²