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    Question

    In a circle, two chords AB & CD are produced at P which

    is outside the circle . If PA= 18 cm, AB= 12 cm , PC = 6 cm then find CD.
    A 28 cm Correct Answer Incorrect Answer
    B 56 cm Correct Answer Incorrect Answer
    C 63 cm Correct Answer Incorrect Answer
    D 84 cm Correct Answer Incorrect Answer

    Solution

    We know that when AB & CD two chords intersect at point P, PA `xx` PB = PC `xx` PD So 18 `xx` (18 + 12) = 6 `xx` (6 + CD)   540 = 6 `xx` (6 + CD)   90 = 6 + CD   CD = 84  cm

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