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MHT CET2017MathematicsThree Dimensional Geometry

If z 1 and z 2 are the z − coordinates of the points of trisection of the line segment joining the points A ( 2 , 1 , 4 ) and B ( − 1 , 3 , 6 ) then z 1 + z 2 =

Options

  1. A1
  2. B4
  3. C5
  4. D10

Correct answer

D. 10

Step-by-step solution

For z 1 → 1 : 2 For z 2 → 2 : 1 ( Internal division formula ) | z = z 1 + z 2 = ( 1 ) ( 6 ) + 2 ( 4 ) 1 + 2 + 2 ( 6 ) + ( 1 ) ( 4 ) 2 + 1 = 6 + 8 3 + 12 + 4 3 = 14 + 16 3 = 30 3 = 10

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