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AP EAMCET20226 Jul 2022Evening ShiftMathematicsCircleActual

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

Options

  1. Aa=b, c=0
  2. B|a|=|b|, h=0=c
  3. Ca=b, h=c=0
  4. Da=b, h=0

Correct answer

C. a=b, h=c=0

Step-by-step solution

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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