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AP EAMCET202021 Sep 2020Morning ShiftMathematicsCircleActual

Find the maximum distance of the point (K(10,7) ) from the circle (x^2+y^2-4 x-2 y-20=0 )

Options

  1. A25
  2. B10
  3. C15
  4. D5

Correct answer

C. 15

Step-by-step solution

Equation of given circle is ( aligned & x^2+y^2-4 x-2 y-20 & =0 & (x-2)^2+(y-1)^2 & =25 aligned ) Having centre (C(2,1) ) and radius (r=5 ) ( ) The maximum distance of the point (K(10,7) ) from the given circle is (C K+r ) ( aligned & = (10-2)^2+(7-1)^2 +5 & = 64+36 +5=10+5=15 unit aligned ) Hence, option (c) is correct.

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