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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. 8y2- 2y - 21 = 0 II.

    2x2+ x - 6 = 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 x = y or the relationship cannot be established between x and y Correct Answer Incorrect Answer

    Solution

    I. 8y2- 2y - 21 = 0 8y2+12y - 14y - 21 = 0 4y (2y + 3) - 7(2y +3) = 0 (4y - 7) (2y + 3) = 0 y = 7/4, - 3/2 II. 2x2+ x - 6 = 0 2x2-3x + 4x - 6 = 0 x (2x - 3) + 2(2x - 3) = 0 (x + 2) (2x - 3) = 0 x = -2, 3/2 Hence, relationship cannot be established between x and y.

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