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AP EAMCET202018 Sep 2020Evening ShiftMathematicsCircleActual

If one of the two circle (x^2+y^2+ ₁(x-y)+c=0 ) and (x^2+y^2+ ₂(x-y)+c=0 ), lies within the other, then (where ( ₁, ₂ R , ₁ ₂ ))

Options

  1. A(c < 0 )
  2. B(c=0 )
  3. C(c>0 )
  4. D(c 0 )

Correct answer

C. (c>0 )

Step-by-step solution

Equation of given circles are ( aligned & x^2+y^2+ ₁(x-y)+C=0 & and x^2+y^2+ ₂(x-y)+C=0 aligned ) Since, if one of the two given circles, lies within the other, then (C₁ C₂ 0 ) ( C ( ₁- ₂ )^2 > 0 C > 0 ) as ( ₁ ₂ ) Hence, option (c) is correct.

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