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Circles with radii 3, 4 and 5 touch each...

Circles with radii 3, 4 and 5 touch each other externally. If P is the point of intersection of tangents to these circles at their points of contact, then if the distance of P from the points of contact is `lambda` then `lambda_2` is _____

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The correct Answer is:
`sqrt(5)`
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