Straight Line Question 294

Question: The equation of the line passing through the point (1, 2) and perpendicular to the line $ x+y+1=0 $ is [MNR 1981]

Options:

A) $ y-x+1=0 $

B) $ y-x-1=0 $

C) $ y-x+2=0 $

D) $ y-x-2=0 $

Show Answer

Answer:

Correct Answer: B

Solution:

  • The line perpendicular to the line $ x+y+1=0 $ is $ y-x+\lambda =0 $ . Also, it passes through the point (1, 2);
    $ \therefore $ $ \lambda =-1 $ . Hence, required line is $ y-x-1=0 $ .