Three Dimensional Geometry Question 219

Question: The equation of straight line passing through the points (a, b, c) and (a ? b, b? c, c ? a), is

[MP PET 1994]

Options:

A) $ \frac{x-a}{a-b}=\frac{y-b}{b-c}=\frac{z-c}{c-a} $

B) $ \frac{x-a}{b}=\frac{y-b}{c}=\frac{z-c}{a} $

C) $ \frac{x-a}{a}=\frac{y-b}{b}=\frac{z-c}{c} $

D) $ \frac{x-a}{2a-b}=\frac{y-b}{2b-c}=\frac{z-c}{2c-a} $

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Answer:

Correct Answer: B

Solution:

Required line is , $ \frac{x-a}{a-b-a}=\frac{y-b}{b-c-b}=\frac{z-c}{c-a-c} $ i.e., $ \frac{x-a}{b}=\frac{y-b}{c}=\frac{z-c}{a} $ .