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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 : (1) `x^2+y^2-4x+8y+12=0` (2) `x^2+y^2-x+4y-12=0` (3) `x^2+y^2-x/4+2y-24=0` (4) `x^2+y^2-4x+9y+18=0`

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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