The point on the circle (x-1)^(2)+(y-1)^...

The point on the circle `(x-1)^(2)+(y-1)^(2)=1` which is nearest to the circle `(x-5)^(2)+(y-5)^(2)=4`, is a)(2, 2) b)`(3/(2),3/(2))` c)`((sqrt(2)+1)/(sqrt(2)),(sqrt(2)+1)/(sqrt(2)))` d)`(sqrt(2),sqrt(2))`

A

(2, 2)

B

`(3/(2),3/(2))`

C

`((sqrt(2)+1)/(sqrt(2)),(sqrt(2)+1)/(sqrt(2)))`

D

`(sqrt(2),sqrt(2))`

Verified by Experts

The correct Answer is:

C

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