# Locus of circle's centre

**Geometry**Level 3

Which of the following can represent the equation of a 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:

\(C_1\) touches \(L_1\) and \(C_2\).

\(C_2\) does not touch \(L_1\).