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The plane a x+b y=0 is rotated through a...

The plane `a x+b y=0` is rotated through an angle `alpha` about its line of intersection with the plane `z=0.` Show that he equation to the plane in the new position is `ax+by±z sqrt(a ^ 2 +b^ 2) ​ tanα=0`

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