The plane is rotated through an angle about its line of intersection with the plane

MATHEMATICS · Subjective · ISC · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

The plane ax+by=0ax+by=0 is rotated through an angle α\alpha about its line of intersection with the plane z=0z=0. Show that the equation to the plane in new position is ax+by±za2+b2tan⁡α=0ax+by \pm z\sqrt{a^2+b^2} \tan \alpha = 0.

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