Straight Line Question 322

Question: The equation of the line passes through $ (a,\ b) $ and parallel to the line $ \frac{x}{a}+\frac{y}{b}=1, $ is[RPET 1986, 95]

Options:

A) $ \frac{x}{a}+\frac{y}{b}=3 $

B) $ \frac{x}{a}+\frac{y}{b}=2 $

C) $ \frac{x}{a}+\frac{y}{b}=0 $

D) $ \frac{x}{a}+\frac{y}{b}+2=0 $

Show Answer

Answer:

Correct Answer: B

Solution:

  • The required equation is $ y-b=-\frac{b}{a}(x-a) $

$ \Rightarrow \frac{x}{a}+\frac{y}{b}=2 $ .