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AP EAMCET202017 Sep 2020Morning ShiftMathematicsCircleActual

The equation of the circle passing through ((0,0) ) and which makes intercepts (a ) and (b ) on the coordinate axes is

Options

  1. A(x^2+y^2+a x+b y=0 )
  2. B(x^2+y^2+a x-b y=0 )
  3. C(x^2+y^2-a x+b y=0 )
  4. D(x^2+y^2-a x-b x=0 )

Correct answer

D. (x^2+y^2-a x-b x=0 )

Step-by-step solution

( aligned & Centre = ( a 2 , b 2 ) & Radius = a^2+b^2 2 aligned ) Equation of circle ( aligned & (x- a 2 )^2+ (y- b 2 )^2= a^2+b^2 4 & x^2+a^2-a x+y^2+b^2-b x=a^2+b^2 & x^2+y^2-a x-b x=0 aligned )

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