Straight Line Question 278

Question: The line $ (3x-y+5)+\lambda (2x-3y-4)=0 $ will be parallel to y-axis, if l =

Options:

A) $ \frac{1}{3} $

B) $ \frac{-1}{3} $

C) $ \frac{3}{2} $

D) $ \frac{-3}{2} $

Show Answer

Answer:

Correct Answer: B

Solution:

  • The given line can be written in this form $ (3+2\lambda )x+(-1-3\lambda )y+(5-4\lambda )=0 $ It is will be parallel to y-axis, if $ -1-3\lambda =0\Rightarrow \lambda =-\frac{1}{3} $ .