AP EAMCET · Maths · Circle
If the equation \(a x^2+b y^2+2 h x y+2 g x+2 f y+c=0\) represents a circle passing through the origin, then
- A \(a=b, c=0\)
- B \(|a|=|b|, h=0=c\)
- C \(a=b, h=c=0\)
- D \(a=b, h=0\)
Answer & Solution
Correct Answer
(C) \(a=b, h=c=0\)
Step-by-step Solution
Detailed explanation
The standard equation of circle which passes through origin is \(x^2+y^2+2 g x+2 f y=0\) If the equation \(a x^2+b y^2+2 h x y+2 f y+c=0\) represent a circle passing through origin, then \(a=b, h=0, c=0\).
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