The point on the curve $ y^2 = x $ where the tangent makes an angle of $ \pi/4 $ with the x-axis is

Question

The point on the curve $ y^2 = x $ where the tangent makes an angle of $ \pi/4 $ with the x-axis is –

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

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

$\left(4, 2\right)$

$\left(1, 1\right)$

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