Question
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
BITSAT
Mathematics
Three Dimensional Geometry
2023
BITSAT 2023 (Memory Based Paper 1)
BITSAT Mathematics Question (2023) — Solution
Options
- A. 2
- B. 3
- C. 4
- D. 1
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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