Let C be a circle passing through the po...

Let C be a circle passing through the points `A(2,-1)andB(3,4)`. The line segment AB is not a diameter of C. If r is the radius of C and its centre lies on the circle `(x-5)^(2)+(y-1)^(2)=(13)/(2)`, then `r^(2)` is equal to :

A

32

B

`(65)/(2)`

C

`(61)/(2)`

D

30

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