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HomeXAT PYQsXAT 2014 Question PaperThere are two circles $$C_{1}$$ and $$C_{2}$$ of radii…
XAT 2014Quantitative AbilityGeometryHARD+1 / −0.25

There are two circles C1C_{1}C1​ and C2C_{2}C2​ of radii 3 and 8 units respectively. The common internal tangent, T, touches the circles at points P1P_{1}P1​ and P2P_{2}P2​ respectively. The line joining the centers of the circles intersects T at X. The distance of X from the center of the smaller circle is 5 units. What is the length of the line segment P1P2P_{1} P_{2}P1​P2​ ?

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