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

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

 

  1. A

    (2,4,1)

  2. B

    (1,4,1)

  3. C

    (1,4,1)

  4. D

    (2,4,1)

    Register to Get Free Mock Test and Study Material

    +91

    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

     Given planes are 2xy+2z4=0 and 

    x+2y+2z2=0

    Equation of angle bisectors are

    2xy+2z44+1+4=±x+2y+2z21+4+42xy+2z43=±x+2y+2z23

     2xy2z4=x+2y+2z2x3y2=0

    or 2xy+2z4=(x+2y+2z2)

    3x+y+4z6=0

    Since, Point (2,4,1) satisfies equation (ii).

    So, required point is (2,4,1).

     

    Chat on WhatsApp Call Infinity Learn

      Register to Get Free Mock Test and Study Material

      +91

      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.