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JEE Advance - Mathematics (2005 - No. 15)

Circles with radii 3, 4 and 5 touch each other externally. It P is the point of intersection of tangents to these circles at their points of contact, find the distance of P from the points of contact.
$$\sqrt{10}$$
$$\sqrt{15}$$
$$\sqrt{5}$$
$$\sqrt{20}$$
$$\sqrt{2}$$

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