The point on the curve $y^2=x$, where the tangent line makes an angle of $\frac{\pi}{4}$ with x axis is

(4, 2) $\left(\frac{1}{2}, \frac{1}{4}\right)$ $\left(\frac{1}{4}, \frac{1}{2}\right)$ (1, 1)

$\left(\frac{1}{4}, \frac{1}{2}\right)$

The correct answer is Option (3) - $\left(\frac{1}{4}, \frac{1}{2}\right)$