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    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 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?
    A ≤ 13 Correct Answer Incorrect Answer
    B ˃ 13 and ≤ 14 Correct Answer Incorrect Answer
    C ˃ 14 and ≤ 15 Correct Answer Incorrect Answer
    D ˃ 15 and ≤ 16 Correct Answer Incorrect Answer

    Solution

    The correct answer is C

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