Straight Line Question 302

Question: The equation of a straight line passing through $ x+2y=2 $ and cutting an intercept equal in magnitude but opposite in sign from the axes is given by [RPET 1984; MP PET 1993]

Options:

A) $ x-y+5=0 $

B) $ x+y-5=0 $

C) $ x-y-5=0 $

D) $ x+y+5=0 $

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let the equation be $ \frac{x}{a}+\frac{y}{-a}=1\Rightarrow x-y=a $ But it passes through $ (-3,2) $ , hence $ a=-3-2=-5 $ . Hence the equation is $ x-y+5=0 $ .