Question

A line perpendicular to the line $a x + b y + c = 0$ and passes through $( a , b )$ The equation of the line is.

• A. $b x - a y + \left( a ^ { 2 } - b ^ { 2 } \right) = 0$
• B. $b x - a y - \left( a ^ { 2 } - b ^ { 2 } \right) = 0$
• C. $b x - a y = 0$
• D. None of these

Answer 1

Answer: (C)

$b x - a y = 0$

Answer 2

The required equation of line which passes through (a,b) and gradient $\frac { b } { a }$ is, $y - b = \frac { b } { a } ( x - a )$ $\Rightarrow b x - a y = 0$.