Angle between (y^{2}=x) and (x^{2}=y) at the origin is | Mathematics | SolveeIt

Angle between $y^{2}=x$ and $x^{2}=y$ at the origin is

$2 \, tan^{-1} \left(\frac{3}{4}\right)$

$tan^{-1} \left(\frac{4}{3}\right)$

$\frac{\pi}{2}$

$\frac{\pi}{4}$

Answer

$\frac{\pi}{2}$

Explanation

It is clear from the graph that both the curves have a tangent at the coordinate axes, so the angle between the curves is $\frac{\pi}{2}$

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