Find the -intercepts of the circle .

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

Problem

Find the

y

-intercepts of the circle

(x+1)^2 + (y-2)^2 = 13

. (a)

(0,\,2+\sqrt{13})

and

(0,\,2-\sqrt{13})

(b)

(0,\,2+3\sqrt{2})

and

(0,\,2-3\sqrt{2})

(c)

(0,\,2+2\sqrt{3})

and

(0,\,2-2\sqrt{3})

(d)

(0,\,1+2\sqrt{3})

and

(0,\,1-2\sqrt{3})