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Let f(x,y) =0 be the equation of a circl...

Let `f(x,y) =0` be the equation of a circle. If `f (0, lamda)=0` has equal roots `lamda=1,1 and f (lamda, 0 ) =0` has roots `lamda =1/2 ,2,` then the centre of the circle is

A

`(1,1/2)`

B

`(5/4,1)`

C

`(5,4)`

D

`(1/2,1)`

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