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

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)- x+ 4y- 12= 0`

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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