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MHT CET20226 Aug 2022Morning ShiftMathematicsThree Dimensional GeometryActual

The line joining points (3,5,-7) and (-2,1,8) meets yz-plane at point

Options

  1. A(0, 13 5 , 2 )
  2. B(0,13,2)
  3. C(0, 13 5 ,-3 )
  4. D(0, -13 5 , 2 )

Correct answer

A. (0, 13 5 , 2 )

Step-by-step solution

Let y _ z plane divides the join in the ratio : 1 then (-2)+1 3 +1 =0 = 3 2 So y _ z plane divides the join in the ratio 3: 2 . Hence, the required point is aligned & ( 3 (-2)+2 3 3+2 , 3 1+2 5 3+2 , 3 8+2 (-7) 3+2 ) & = (0, 13 5 , 2 ) aligned

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