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    Question

    A tangent is drawn from a point P to a circle, which

    meets the circle at T such that PT = 10.5 cm. A secant PAB intersects the circle in points A and B. If PA = 7 cm. what is the length (in cm) of the chord AB?
    A 7.75 Correct Answer Incorrect Answer
    B 8.5 Correct Answer Incorrect Answer
    C 8.75 Correct Answer Incorrect Answer
    D 8.45 Correct Answer Incorrect Answer

    Solution

    Given, PT = 10.5 cm, PA = 7 cm We know that, PT2 = PA x PB (10.5)2 = 7 x PB PB = (10.5 x 10.5)/7 = 15.75 cm Then, AB = (15.75 - 7) = 8.75 cm

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