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AP EAMCET202021 Sep 2020Evening ShiftMathematicsThree Dimensional GeometryActual

The image of the point with position vector (( i +3 j +4 k ) ), in the plane ( r (2 i - j + k )+3=0 ) is

Options

  1. A((3,5,2) )
  2. B((3,5,-2) )
  3. C((-3,-5,2) )
  4. D((-3,5,2) )

Correct answer

D. ((-3,5,2) )

Step-by-step solution

Let the image of the point with position vector (( i +3 j +4 k ) ) in the plane ( r (2 i - j + k )+3=0 ) is ( (x₂, y₂, z₂ ) ), so ( x₂-1 2 = y₂-3 -1 = z₂-4 1 =-2 2-3+4+3 4+1+1 =-2 ) ( x₂=-3, y₂=5 ; z₂=2 ) Hence, option (d) is correct.

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