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JEE Main201911 Jan 2019Evening ShiftMathematicsThree Dimensional GeometryActual

Two lines x-3 1 = y+1 3 = z-6 -1 and x+5 7 = y-2 -6 = z-3 4 intersect at the point R . The reflection of R in the x y - plane has coordinates:

Options

  1. A(2,-4,-7)
  2. B(2,4,7)
  3. C(2,-4,7)
  4. D(-2,4,7)

Correct answer

A. (2,-4,-7)

Step-by-step solution

Let the coordinate of P with respect to line x-3 1 = y+1 3 = z-6 -1 = x+5 7 = y-2 -6 = z-3 4 = ₁=( +3,3 -1,- +6) and coordinate of P w.r.t. line L₂=(7 -5,-6 +2,4 +3) -7 =-8,3 +6 =3, +4 =3 From above equation : =-1, =1 Coordinate of point of intersection R=(2,-4,7) Image of R w.r.t. x y plane =(2,-4,-7)

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