Straight Line Question 317

Question: The equation of line passing through (c, d) and parallel to $ ax+by+c=0, $ is[RPET 1987]

Options:

A) $ a(x+c)+b(y+d)=0 $

B) $ a(x+c)-b(y+d)=0 $

C) $ a(x-c)+b(y-d)=0 $

D)None of these

Show Answer

Answer:

Correct Answer: C

Solution:

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

$ \Rightarrow a(x-c)+b(y-d)=0 $ .