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COMEDK2013MathematicsCircle

The radius of the circle passing through the point (6,2) and two of whose diameters are x+y=6 and x+2 y=4 is

Options

  1. A4
  2. B6
  3. C20
  4. D20

Correct answer

D. 20

Step-by-step solution

We have, diameters of circle are x+y=6 and x+2 y=4 On solving above equations, we get x=8 and y=-2 Centre of circle is (8,-2) . Since, circle passes through (6,2) . Radius = (8-6)²+(-2-2)² = 4+16 = 20

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