Let and be two circles with lying inside

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

Problem

Let

C_1

and

C_2

be two circles with

C_2

lying inside

C_1

. A circle

C

lying inside

C_1

touches

C_1

internally and

C_2

externally. Identify the locus of the centre of

C