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AP EAMCET20226 Jul 2022Morning ShiftMathematicsCircleActual

Suppose the tangents drawn to the circle x^2+y^2-6 x-4 y-11=0 from P(1,8) touch the circle at A and B . Then the centre of the circle passing through P , A and B is

Options

  1. A(2,5)
  2. B(-2,-5)
  3. C(-2,5)
  4. D(2,-5)

Correct answer

A. (2,5)

Step-by-step solution

Given equation of circle is x^2+y^2-6 x-4 y-11=0 centre =(3,2) A circle passing through P , A and B then PC is a diameter centre of required circle is ( 1+3 2 , 8+2 2 ) i.e. (2,5)

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