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Mathematics
Problem
Let
C
1
C_1
C
1
and
C
2
C_2
C
2
be two circles with
C
2
C_2
C
2
lying inside
C
1
C_1
C
1
. A circle
C
C
C
lying inside
C
1
C_1
C
1
touches
C
1
C_1
C
1
internally and
C
2
C_2
C
2
externally. Identify the locus of the centre of
C
C
C
.
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