The equations of four circles are

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

Problem

(x \pm a)^2 + (y \pm a)^2 = a^2

. The radius of a circle touching all the four circles is (1)

(\sqrt{2} - 1)a

(2)

2\sqrt{2}a

(3)

(\sqrt{2} + 1)a

(4)

(2 + \sqrt{2})a