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AP EAMCET20228 Jul 2022Morning ShiftMathematicsCircleActual

For any real number 1 , the centre of the circle that passes through A (1, ), B ( , 1) and ( , ) is

Options

  1. A( 1+ 2 , 1+ 2 )
  2. B( 1+2 3 , 1+2 3 )
  3. C(1+2 , 1+2 )
  4. D( 2 , 2 )

Correct answer

D. ( 2 , 2 )

Step-by-step solution

Let circles passes through A (1, ),( BC , 1) and C ( , ) hence, equation of circle are aligned & 1+ ^2+2 ~g +2+ + c =0 & ^2+1+2 ~g +2 f + c =0 & ^2+ ^2+2 ~g +2 f + c =0 aligned on solving equations, f = g and f = - -1 2 how centre =(- g ,- f )= ( 1+ 2 , 1+ 2 )

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