Maths-
General
Easy

Question

Let two planes P subscript 1 colon 2 x minus y plus z equals 2 and P subscript 2 colon x plus 2 y minus z equals 3 are given On the basis of the above information, answer the following question: The equation of the bisector of angle of the planes P1 and P2 which not containing origin is

  1. x-3y+2z+1=0
  2. x-3y+2z+1=0
  3. x+3y+2z+2=0
  4. 3x+y=5

hintHint:

Bisector of angle represents that should pass through the point of intersection of the planes.

The correct answer is: 3x+y=5


    Given That:
    Let two planes P subscript 1 colon 2 x minus y plus z equals 2 and P subscript 2 colon x plus 2 y minus z equals 3 are given On the basis of the above information, answer the following question: The equation of the bisector of angle of the planes P1 and P2 which not containing origin is
    >>> Bisector of angle represents that should pass through the point of intersection of the planes.
    >>> Therefore, the equation of the angular bisector becomes P1+P2:
    P subscript 1 colon 2 x minus y plus z equals 2 + P subscript 2 colon x plus 2 y minus z equals 3
    -> 3x +y = 5.
    >>> Therefore, the equation of angular bisector becomes 3x+y =5.

    P subscript 1 colon 2 x minus y plus z equals 2 + P subscript 2 colon x plus 2 y minus z equals 3
    -> 3x +y = 5.

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