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AP EAMCET201822 Apr 2018Evening ShiftMathematicsCircleActual

If a circle S with radius 5 touches the circle x^2+y^2-6 x-4 y-12=0 at (-1,-1) , then the length of the tangent from the centre of the circle S to the given circle is

Options

  1. A5 3
  2. B65
  3. C10
  4. D3 11

Correct answer

A. 5 3

Step-by-step solution

Given circle is aligned & x^2+y^2-6 x-4 y-12=0 & (x-3)^2+(y-2)^2=25 & aligned According to the question, C A B is right angle triangle, so array lll & A B^2=B C^2-A C^2=100-25=75 & A B=5 3 array

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