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    Question

    Two chords AB and CD intersect each other at point 'P'

    (inside the circle) . If CP = 12 cm, DP = 15 cm and AP = 20 cm, then find BP.
    A 12 cm Correct Answer Incorrect Answer
    B 9 cm Correct Answer Incorrect Answer
    C 8 cm Correct Answer Incorrect Answer
    D 10 cm Correct Answer Incorrect Answer

    Solution

    Image

    If two chords AB and CD intersect each other at 'P', then AP X BP = CP X DP

    So, AP x BP = CP x DP

    Or, 20 x BP = 12 x 15

    Or, 20 x BP = 180

    Or, BP = 9 cm

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