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AP EAMCET2014MathematicsCircle

A circle with centre at (2,4) is such that the line x+y+2=0 cuts a chord of length 6 . The radius of the circle is

Options

  1. A41 ~cm
  2. B11 ~cm
  3. C21 ~cm
  4. D31 ~cm

Correct answer

A. 41 ~cm

Step-by-step solution

Let r be the radius of the circle. Now, perpendicular distance aligned A C & = |2+4+2| 1^2+1^2 = 8 2 & =4 2 aligned In right angled C A B , aligned r^2 & =(A C)^2+(A B)^2 & =(4 2 )^2+(3)^2=32+9 r^2 & =41 r= 41 aligned

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