The point on a circle nearest to the poi...

The point on a circle nearest to the point P (2,1) is 4 units and the farthest point is (6,5) . Then the equation of the circle is

A

`( x - 6 )( x - sqrt(2) - 1) + (y - 5) ( y - sqrt(5) - 1) = 0`

B

`( x - 6)( x - sqrt(2) ) +(y - 5) (y - sqrt(2)) = 0`

C

`( x - 6 ) ( x - 2 - 2 sqrt(2))+ (y - 5) (y - 1 - 2 sqrt(2)) =0`

D

`( x - 6) ( x - 2 - 2 sqrt(2)) + ( y - 5) ( y - 2 - 2 sqrt(2)) = 0 `

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The correct Answer is:

C

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