Straight Line Question 287

Question: The equation of the straight line passing through the point (3, 2) and perpendicular to the line y = x is [MNR 1979]

Options:

A) $ x-y=5 $

B) $ x+y=5 $

C) $ x+y=1 $

D) $ x-y=1 $

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let the required equation is $ y=-x+c $ which is perpendicular to $ y=x $ and passes through (3, 2). So $ 2=-3+c\Rightarrow c=5 $ . Hence required equation is $ x+y=5 $ .