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AP EAMCET20224 Jul 2022Morning ShiftMathematicsThree Dimensional GeometryActual

If a , b , c are the direction ratios of a line joining the points 4 , 3 , - 5 and - 2 , 1 , - 8 then the point P a , 3 b , 2 c lies on the plane

Options

  1. Ax + y + z = 0
  2. Bx + y - 2 z = 0
  3. Cx + 2 y + 3 z = 0
  4. Dx - 2 y + 3 z = 0

Correct answer

B. x + y - 2 z = 0

Step-by-step solution

Given a , b , c are the direction ratios of a line joining the points 4 , 3 , - 5 and - 2 , 1 , - 8 , So a = 4 - - 2 = 6 , b = 3 - 1 = 2 and c = - 5 - - 8 = 3 Now putting the value of a ,   b   &   c in the point P a , 3   b , 2 c we get P 6 ,   6 ,   6 , Now checking in all options in which P 6 ,   6 ,   6 will lie, We get x + y - 2 z = 0 in which the given point lies.

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