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  4. The angle of intersection between the curves x2=8 y and y2=8 x at (0,0) is:

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

BITSATBITSAT 2011

Solution:

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 $\frac{\pi}{2}$.
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