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AP EAMCET202420 May 2024Evening ShiftMathematicsCircleActual

The largest among the distances from the point P(15,9) to the points on the circle x^2+y^2-6 x-8 y-11=0 is

Options

  1. A12
  2. B13
  3. C19
  4. D7

Correct answer

C. 19

Step-by-step solution

x^2+y^2-6 x-8 y-11=0, P(15,9) Centre (C)=(3,4) Radius = 9+16+11 =6 ; C P= (15-3)^2+(9-4)^2 =13 Greatest distance =13+6=19

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