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Length of External Common Tangent

Given: Two ci...

Question

Given: Two circles intersect each other at $C$ and $D$ . Line $A B$ is their common tangent.
Find the distance of $P Q$ in terms of $P C$ and $Q D$

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Solution

The circle touch each other externally at 2 different points
So The condition is
$C_{1} C_{2} < r_{1} + r_{2} P Q < P C + Q D$

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