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MHT CET2009MathematicsThree Dimensional Geometry

A point on X O Z -plane divides the join of (5,-3,-2) and (1,2,-2) at

Options

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

Correct answer

A. ( 13 5 , 0,-2 )

Step-by-step solution

Let point P(x, y, z) divides the line joining the points A and B in the ratio m: 1 . Since, point P is on X O Z -plane y coordinate =0 2 m-3 m+1 =0 m= 3 2 Now, x= 3+2 5 3+2 = 13 5 and z= 3 (-2)+2 (-2) 5 =-2 Required point is ( 13 5 , 0,-2 ) .

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