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Let , P be the point on the parabola ...

Let , P be the point on the parabola ` y^(2) = 8x ` which is at a minimum distance from the centre C of the circle `x^(2) + (y + 6)^(2) =1 ` . Then the equation of the circle, passing through C and having its centre at P is

A

`x^(2) + y^(2) - 4x + 8y + 12 = 0 `

B

`x^(2) + y^(2) - x + 4y - 12 = 0 `

C

`x^(2) + y^(2) - (x)/(4) + 2y - 24 = 0 `

D

`x^(2) + y^(2) - 4x + 9y + 18 = 0 `

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The correct Answer is:
A
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