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    Question

    X, Y, and Z are three points on a plane with XY = 11 cm,

    YZ = 13 cm, and XZ = 24 cm. The number of circles that travel through points X, Y, and Z is:
    B 2 Correct Answer Incorrect Answer
    C 1 Correct Answer Incorrect Answer
    D 3 Correct Answer Incorrect Answer

    Solution

    We are given XY=11 cm , YZ=13 cm , and XZ=24 cm .
    Since XY+YZ=11+13=24=XZ , the points X, Y, and Z are collinear.
    No circle can pass through three collinear points.

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