class 11

Math

Co-ordinate Geometry

Coordinate Geometry

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 :

- $x_{2}+y_{2}−4x+8y+12=0$
- $x_{2}+y_{2}−x+4y−12=0$
- $x_{2}+y_{2}−4x +2y−24=0$
- $x_{2}+y_{2}−4x+9y+18=0$