A moving circle
A moving circle
7 marks
TGM Original
For \(d\ge0\), classify the relative positions of \(x^2+y^2=25\) and \((x-d)^2+y^2=4\) for all values of \(d\). Identify every boundary case.[7]
Solution:
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Answer:\(d=0\) concentric unequal; \(0<d<3\) nested; \(d=3\) internal tangent; \(3<d<7\) crossing; \(d=7\) external tangent; \(d>7\) separate.
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