If represents a real circle with non-zero radius

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

x^2+y^2-2x+2ay+a+3=0

represents a real circle with non-zero radius, then the most appropriate condition is (1)

a\in(-\infty,-1)

(2)

a\in(-1,2)

(3)

a\in(2,\infty)

(4)

a\in(-\infty,-1)\cup(2,\infty)