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Let P be the point on the parabola, y^(2...

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

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  15. Let P and Q be distinct points on the parabola y^2 = 2x such that a c...

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  16. Let P be the point on the parabola, y^(2)=8x which is at a minimum dis...

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