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AP EAMCET2014MathematicsThree Dimensional Geometry

If the line joining A(1,3,4) and B is divided by the point (-2,3,5) in the ratio 1: 3 , then B is

Options

  1. A(-11,3,8)
  2. B(-11,3,-8)
  3. C(-8,12,20)
  4. D(13,6,-13)

Correct answer

A. (-11,3,8)

Step-by-step solution

Using internally ratio formula, aligned & (-2,3,5) & = ( 1 x+3 1 1+3 , 1 y+3 3 1+3 , 1 z+3 4 1+3 ) & (2,3,5)= ( x+3 4 , y+9 4 , z+12 4 ) & x+3=-8, y+9=12, z=12=20 & x=-11, y=+3, z=8 & Required point =B(-11,3,8) aligned

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