Describe completely the locus of points in each of the following cases: centre of a circle of radius 2 cm and touching a fixed circle of radius 3 cm with centre O.

(1) Now,

if the circle with 2 cm as radius touches the given circle externally then the locus of the centre of circle will be a concentric circle of radius 3 + 2 = 5 cm

ML Aggarwal Solutions for Class 10 Chapter 14 Image 19

(2) If the circle with 2 cm as radius touched the given circle with 3 cm as radius internally, then the locus of the centre of the circle will be a concentric circle of radius 3 – 2 = 1 cm.

ML Aggarwal Solutions for Class 10 Chapter 14 Image 20

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