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    Question

     From an external point P, a tangent PT is drawn to a

    circle with centre O. If OP = 13 cm and radius = 5 cm, then PT is:
    A 12 cm Correct Answer Incorrect Answer
    B 18 cm Correct Answer Incorrect Answer
    C 22 cm Correct Answer Incorrect Answer
    D 28 cm Correct Answer Incorrect Answer

    Solution

    Radius is perpendicular to tangent at the point of contact. So in right triangle OPT: OP^2 = OT^2 + PT^2 13^2 = 5^2 + PT^2 169 = 25 + PT^2 PT^2 = 144 PT = 12 cm

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