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    Question

    If 9x2 + 16y2 = 24xy, then find

    the ratio of ‘x’ and ‘y’, respectively.
    A 2:3 Correct Answer Incorrect Answer
    B 3:2 Correct Answer Incorrect Answer
    C 4:3 Correct Answer Incorrect Answer
    D 4:9 Correct Answer Incorrect Answer

    Solution

    9x2 + 16y2 = 24xy Or, 9x2 + 16y2 – 24xy = 0 Or, (3x)2 + (4y)2 – 2 × 3x × 4y = 0 [(a – b)2 = a2 + b2 – 2ab] Or, (3x – 4y)2 = 0 Or, 3x – 4y = 0 Or, 3x = 4y So, x/y = 4/3 Or, x:y = 4:3

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