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NDA2019MathematicsThree Dimensional GeometryActual

If the points (x, y,-3),(2,0,-1) and (4,2,3) lie on a straight line, then what are the values of x and y respectively?

Options

  1. A1,-1
  2. B-1,1
  3. C0,2
  4. D3,4

Correct answer

A. 1,-1

Step-by-step solution

Given points are (x, y,-3) ;(2,0,-1) ;(4,2,3) since they lie on same line their DR's must be same DR's =(2-x,-y, 2)(2,2,4) aligned & 2-x 2 = -y 2 = 2 4 & x=1 ; y=-1 aligned

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