Straight Line Question 319

Question: A line perpendicular to the line $ ax+by+c=0 $ and passes through $ (a,\ b). $ The equation of the line is [RPET 1988; MP PET 1995]

Options:

A) $ bx-ay+(a^{2}-b^{2})=0 $

B) $ bx-ay-(a^{2}-b^{2})=0 $

C) $ bx-ay=0 $

D)None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • The required equation of line which passes through (a,b) and gradient $ \frac{b}{a} $ is, $ y-b=\frac{b}{a}(x-a) $

$ \Rightarrow bx-ay=0 $ .