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AP EAMCET202120 Aug 2021Evening ShiftMathematicsCircleActual

The centre and radius of the circle x 2 + y 2 + 8 x + 10 y - 8 = 0 respectively are

Options

  1. A( - 4 , - 5 ) ,   7
  2. B( 4 , 5 ) ,   49
  3. C( - 8 , - 10 ) ,   8
  4. D( - 4 , 5 ) ,   7

Correct answer

A. ( - 4 , - 5 ) ,   7

Step-by-step solution

Given that: x 2 + y 2 + 8 x + 10 y - 8 = 0 As we know that x 2 + y 2 + 2 g x + 2 f y + c = 0 has centre - g , - f and r = g 2 + f 2 - c here, g = 4 ,   f = 5 ,   c = - 8 centre ≡ - 4 , - 5 , radius = r = 16 + 25 + 8 = 7

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