AP EAMCET · Maths · Circle
The line \(a x+b y+c=0\) is normal to the circle \(x^2+y^2+2 g x+2 f y+d=0\) if
- A \(a g+b f+c=0\)
- B \(a g+b f-c=0\)
- C \(a g-b f+c=0\)
- D \(a g-b f-c=0\)
Answer & Solution
Correct Answer
(B) \(a g+b f-c=0\)
Step-by-step Solution
Detailed explanation
Given, equation of circle is \[ x^2+y^2+2 g x+2 f y+d=0 \] Its centre will be \((-g,-f)\). A normal to this circle will always passes through centre Given, equation of line is \(a x+b y+c=0\) If \(a x+b y+c=0\), then it satisfied \((-g,-f)\)…
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