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BITSAT2023MathematicsThree Dimensional GeometryActual

The ratio in which the YZ-plane divide the line segment formed by joining the points (-2,4,7) and (3,-5,8) is 2: m . The value of m is

Options

  1. A2
  2. B3
  3. C4
  4. D1

Correct answer

B. 3

Step-by-step solution

Let the points be A(-2,4,7) and B(3,-5,8) on Y Z -plane, x -coordinate =0 . Let the ratio be K: 1 . The coordinates of C are ( 3 K-2 K+1 , -5 K+4 K+1 , 8 K+7 K+1 ) Clearly 3 K-2 K+1 =0 3 K=2 K= 2 3 Hence required ratio is 2: 3 .

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