Straight Line Question 393

Question: The equation of the line perpendicular to line $ ax+by+c=0 $ and passing through $ (a,\ b) $ is equal to [Pb. CET 2002]

Options:

A) $ bx-ay=0 $

B) $ bx+ay-2ab=0 $

C) $ bx+ay=0 $

D)None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • Equation of line perpendicular to $ ax+by+c=0 $ is $ bx-ay+\lambda =0 $ …..(i)It passes through (a, b)So, from equation (i), $ ab-ab+\lambda =0\Rightarrow \lambda =0 $ So equation of line is $ bx-ay=0 $ .