A plane which bisects the angle between the two given planes 2 x - y + 2 z - 4 = 0 and x + 2 y + 2 z - 2 = 0 , passes through the point

Question

A plane which bisects the angle between the two given planes 2 x - y + 2 z - 4 = 0 and x + 2 y + 2 z - 2 = 0 , passes through the point, 2 , 4 , 1, ( 1 , - 4 , 1 ), 1 , 4 , - 1, 2 , - 4 , 1

MARKS App · Accepted Answer

Equation of bisector of angle 2 x - y + 2 z - 4 3 = ± x + 2 y + 2 z - 2 3 ( + ) gives x - 3 y = 2 - gives 3 x + y + 4 z = 6 therefore 2 , - 4 , 1 satisfies the above equation.

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