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JEE Main201912 Apr 2019Evening ShiftMathematicsThree Dimensional GeometryActual

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

Options

  1. A2 , 4 , 1
  2. B( 1 , - 4 , 1 )
  3. C1 , 4 , - 1
  4. D2 , - 4 , 1

Correct answer

D. 2 , - 4 , 1

Step-by-step solution

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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