Is a circle of radius touching the -axis and -axis

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

C_1

is a circle of radius

2

touching the

x

-axis and

y

-axis.

C_2

is another circle of radius greater than

2

, touching both axes and

C_1

. Statement I: The radius of

C_2

\sqrt{2}(\sqrt{2}+1)(\sqrt{2}+2)

. Statement II: The centres of both circles always lie on the line

y=x