Three Dimensional Geometry Question 214

Question: Direction ratios of the line represented by the equation $ x=ay+b, $ $ z=cy+d $ are

Options:

A) (a, 1, c)

B) (a, b ? d, c)

C) (c, 1, a)

D) (b, ac, d)

Show Answer

Answer:

Correct Answer: A

Solution:

$ x-ay-b=0 $ and $ cy-z+d=0 $
$ \therefore , $ If l, m, n are direction cosines, then $ \frac{l}{a}=\frac{m}{1}=\frac{n}{c} $ . Hence direction ratios are (a, 1, c).