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AP EAMCET2012MathematicsCircle

The radius of the circle r=12 +5 is

Options

  1. A5 12
  2. B17 2
  3. C15 2
  4. D13 2

Correct answer

D. 13 2

Step-by-step solution

Given equation of circle is r=12 +5 Put = x r and = y r , we get array rlrl & & r & =12 x r +5 y r & & r^2 & =12 x+5 y & x^2+y^2 & =12 x+5 y & x^2+y^2-12 x-5 y & =0 array Centre is (6, 5 2 ) aligned Radius of circle & = (6)^2+ ( 5 2 )^2 & = 36+ 25 4 = 144+25 4 & = 169 4 = 13 2 aligned

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