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    Question

    The distance between two parallel chords of length 12cm

    each in a circle of diameter 13cm is
    A 5cm Correct Answer Incorrect Answer
    B 5.5cm Correct Answer Incorrect Answer
    C 6cm Correct Answer Incorrect Answer
    D 6.5cm Correct Answer Incorrect Answer

    Solution

    AB = CD = 12cm Radius r = 13/2 cm = 6.5cm In ∆OMB, OB² = OM² + MB² ⇒ r² = OM² + (6)² ⇒ (6.5)² = OM² + (6)² ⇒ OM² = 42.25 – 36 = 6.25 ⇒ OM = 2.5 Distance between parallel lines, MN = 2 × OM = 2 × 2.5 = 5cm

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