Mathematics
Describe completely the locus of centre of a circle of radius 2 cm and touching a fixed circle of radius 3 cm with centre O.
Locus
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Answer
From the figure,
If the circle with 2 cm as radius touches the given circle externally then the locus of the centre of the circle will be a concentric circle with radius (3 + 2) = 5 cm.
If the circle with 2 cm as radius touches the given circle with 3 cm as radius internally, then the locus of the centre of the circle will be a concentric circle with radius (3 - 2) = 1 cm.
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