# Locus of circle's centre

Geometry Level 3

Find the locus of a centre of a circle touching both another circle and a straight line which in turn do not intersect.
eg.
Let $$C_1$$ be the required circle and $$C_2$$ given circle and $$L_1$$ be the given line then: 1. $$C_1$$ touches $$L_1$$ and $$C_2$$. 2. $$C_2$$ does not touch $$L_1$$.

×