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If the plane ax+by=0 is rotated about it...

If the plane `ax+by=0` is rotated about its line of intersection with the plane `z=0` through an angle `alpha` then prove that the equation of the plane in its new position is `ax+by+-(sqrt(a^(2)+b^(2)) tan alpha)z=0`.

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The plane ax + by = 0 is rotated about its line of intersection with the plane z = 0 through an angle alpha . Prove that the equation of the plane in its new position is ax + by +- (sqrt(a^2 + b^2) tan alpha)z = 0

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VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE ADVANCED (ARCHIVE)
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