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Question: Answered & Verified by Expert
A line perpendicular to the line $a x+b y+c=0$ and passes through $(a, b)$. The equation of the line is
MathematicsStraight LinesJEE Main
Options:
  • 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
Solution:
1151 Upvotes Verified Answer
The correct answer is: $b x-a y=0$
The required equation of line which passes through $(a, b)$ and gradient $\frac{b}{a}$ is, $y-b=\frac{b}{a}(x-a)$ $\Rightarrow b x-a y=0$

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