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MHT CET202122 Sep 2021Evening ShiftMathematicsThree Dimensional GeometryActual

A line drawn from a point A (-2,-2,3) and parallel to the line x -2 = y 2 = z -1 meets the YOZ - plane in point P , then the co-ordinates of the point P are

Options

  1. A(0,4,-4)
  2. B(0,2,2)
  3. C(0,-2,2)
  4. D(0,-4,4)

Correct answer

D. (0,-4,4)

Step-by-step solution

Equation of required lines is x +2 -2 = y +2 2 = z -3 -1 and this line meets YZ plane in P . Coordinates of any point on this line are (-2 -21,2 -2,- +3) , where is a scalar. Since P is on YZ plane, we write aligned & -2 -2=0 =-1 & P (0,-4,4) aligned

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