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    Question

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

    I. 2y2+ 13y + 15 = 0 II.

    2x2+ 11 x + 12 = 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. 2y2+ 13y + 15 = 0 2y2 + 3y + 10 y + 15 = 0 y (2 y + 3) + 5 (2 y + 3) = 0 (y + 5) (2 y + 3) = 0 y = – 5, – 3/2 II. 2x2 + 11 x + 12 = 0 2x2 + 3x + 8 x + 12 = 0 x (2 x + 3) + 4 (2 x + 3) = 0 (x + 4) (2 x + 3) = 0 x = – 4, – 3/2 Hence, no relationship can be established between x and y

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