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    Question

    In the following questions, two equations numbered I and II are given. You have to solve both questions and give answer among the following options.

    I. 12x2- 55x + 63 = 0 II.

    10y2- 47y + 55 = 0
    A if x > y Correct Answer Incorrect Answer
    B if x ≥ y Correct Answer Incorrect Answer
    C if x < y Correct Answer Incorrect Answer
    D if x ≤ y Correct Answer Incorrect Answer
    E if x = y or the relationship cannot be established. Correct Answer Incorrect Answer

    Solution

    I. 12x2- 27x - 28x + 63 = 0 3x(4x - 9) - 7(4x - 9) = 0 (3x - 7) (4x - 9) = 0 x = 9/4, 7/3 II. 10y2- 47y + 55 = 0 10y2- 22y - 25y + 55 = 0 2y (5y - 11) - 5(5y - 11) = 0 (2y - 5)(5y - 11) = 0 y = 5/2, 11/5 Hence, relationship cannot be established between x and y.

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