(a) Define a circle in the context of coordinate geometry. (b) A point is at a fixed…

MATHEMATICS · Subjective · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

(a) Define a circle in the context of coordinate geometry. (b) A point

P(x,y)

is at a fixed distance

r

from a point

C(h,k)

. Show that the locus of

P

satisfies the equation

(x-h)^2+(y-k)^2=r^2

, thereby establishing that this equation represents a circle with centre

C(h,k)

and radius

r