Three Dimensional Geometry Question 173

Question: The equation of the plane which bisects the line joining (2, 3, 4) and (6, 7, 8) is

[CET 1991, 93]

Options:

A) $ x+y+z-15=0 $

B) $ x-y+z-15=0 $

C) $ x-y-z-15=0 $

D) $ x+y+z+15=0 $

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Answer:

Correct Answer: A

Solution:

Mid-point of (2,3,4) and (6, 7, 8) is (4, 5, 6). This lies on $ x+y+z-15=0. $ Hence this is the required plane.