Let be the point on the parabola that is at a minimum distance from the centre of the…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Let

P

be the point on the parabola

y^2=8x

that is at a minimum distance from the centre

C

of the circle

x^2+(y+6)^2=1

. 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-\frac{x}{4}+2y-24=0

(4)

x^2+y^2-4x+9y+18=0