A circle passes through the points A(1,0...

A circle passes through the points `A(1,0)` and `B(5,0),` and touches the y-axis at `C(0,h)dot`. If `/_A C B` is maximum, then (a)`h=3sqrt(5)` (b) `h=2sqrt(5)` (c)`h=sqrt(5)` (d) `h=2sqrt(10)`

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