Mathematics

Problem

If the area enclosed between the curves

y = kx^2

and

x = ky^2

, (

k > 0

), is 1 square unit. Then

k

is : (1)

\frac{1}{\sqrt{3}}

(2)

\frac{2}{\sqrt{3}}

(3)

\frac{\sqrt{3}}{2}

(4)

\sqrt{3}