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Manipal MET2016MathematicsThree Dimensional Geometry

If Q is the image of the point P(2,3,4) under the reflection in the plane x-2 y+5 z=6 , then the equation of the line P Q is

Options

  1. Ax-2 -1 = y-3 2 = z-4 5
  2. Bx-2 1 = y-3 -2 = z-4 5
  3. Cx-2 -1 = y-3 -2 = z-4 5
  4. Dx-2 1 = y-3 2 = z-4 5

Correct answer

B. x-2 1 = y-3 -2 = z-4 5

Step-by-step solution

Since, the point Q is image of P , therefore P Q is perpendicular to the plane x-2 y+5 z=6 Required equation of the line is x-2 1 = y-3 -2 = z-4 5

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