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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- 37y + 143 = 0 II.

    2x2+ 15x – 143 = 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 - 37y + 143 = 0 2y2 - 11y - 26 y + 143 = 0 y (2 y – 11) – 13 (2 y – 11) = 0 (y – 13) (2 y – 11) = 0 y = 13, 11/2 II. 2x2 + 15x – 143 = 0 2x2 + 26x - 11 x – 143 = 0 2 x(x + 13) – 11(x + 13) = 0 (2 x – 11) (x + 13) = 0 x = - 13, 11/2 Hence, x ≤y

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