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    Question

    Two chords PQ and RS intersect each other at point ‘A’

    inside the circle. If PQ = 5 cm, RA = 3.6 cm and AQ = 1.8 cm, find the length of RS.
    A 4.2 cm Correct Answer Incorrect Answer
    B 3.6 cm Correct Answer Incorrect Answer
    C 2.4 cm Correct Answer Incorrect Answer
    D 5.2 cm Correct Answer Incorrect Answer

    Solution

    PA = 5 – 1.8 = 3.2 cm
    Since, PQ and RS are two chords and intersect each other at point ‘A’.
    So, PA × AQ = RA × AS
    Or, 3.2 × 1.8 = 3.6 × AS
    So, AS = 1.6 cm
    And, RS = RA + AS = 3.6 + 1.6 = 5.2 cm

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