If the distance of a point \( P \) from \( (6,0) \) is twice its distance from the point \( (1,3...

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If the distance of a point \( P \) from \( (6,0) \) is twice its distance from the point \( (1,3) \), show that the locus of \( \mathrm{P} \) is a circle. Find its centre and radius.
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