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Question
The ratio in which the plane 2x - 1 = 0 divides the line joining (-2,4,7) and (3, -5, 8) is
Options:
A .  2 : 3
B .  4 : 5
C .  7 : 8
D .  1 : 1
Answer: Option D
:
D
Let the required ratio be k:1, then the coordinates of the point which divides the join of the points (-2, 4, 7) and (3, -5, 8) in this ratio are given by (3k2k+1,5k+4k+1,8k+7k+1)
As this point lies on the plane 2x - 1 = 0.
(3k2k+1=12k=1) and thus the required ratio as 1:1.

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