The angle of intersection between the curves $x^{2} = 8 y$ and $y^{2} = 8 x$ at $(0, 0)$ is:

\frac{π}{4}

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\frac{π}{3}

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\frac{π}{6}

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\frac{π}{2}

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Solution

The correct option is D $\frac{π}{2}$
Angle between curves is basically angle between the tangents at the point of intersection. And it is clear from the figure that angle between the curves is $\frac{π}{2}$ .

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