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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 intersecton of tangents to these circles at their points of contact and the distance of `P` from the points of contact is `sqrt(lambda)`, then find the numerical quantity `lambda`.

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The correct Answer is:
`sqrt(5)`
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