Question
There are two circles C₁ and C₂ of radii 3 and 8 units, respectively. The common internal tangent, T touches the circles at points P₁ and P₂, respectively. The line joining the centers of the circles intersects T at
There are two circles C₁ and C₂ of radii 3 and 8 units, respectively. The common internal tangent, T touches the circles at points P₁ and 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 P₁ P₂?
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