The line segment joining \( (5,0) \) and \( (10\cos\theta, 10\sin\theta) \) is divided internally in the ratio \(2:3\) at \(P\). If \(\theta\) varies, then the locus of \(P\) is
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Whenever trigonometric parameters appear as \(a\cos\theta, a\sin\theta\), expect a circle after elimination.