Mathematics · Three Dimensional Geometry

The plane lx + my = 0 is rotated about its line of intersection with the plane z = 0 through an angle α. If the equation of the plane in its new position is lx + my ± z λ√(l 2 + m 2 ) = 0, then λ is:

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tan α

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The plane lx + my = 0 is rotated about its line of intersection with the plane z = 0 through an angle &alpha;. If the equation of the plane in its new position is lx + my &plusmn; z &lambda;&radic;(l 2 + m 2 ) = 0, then &lambda; is: