Locus of circle's centre

Geometry Level 4

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 C_1 be the required circle and C 2 C_2 given circle and L 1 L_1 be the given line then:

  1. C 1 C_1 touches L 1 L_1 and C 2 C_2 .

  2. C 2 C_2 does not touch L 1 L_1 .

Collection of some points Can't be determined with the given information Ciricle Pair of straight lines Hyperbola Parabola Ellipse Polynomial function

Prince Loomba by Prince Loomba , 21, India

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1 solution

Prince Loomba
Jan 16, 2016

Its easy by coordinate geometry

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