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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. 3x2 - 16x - 12 = 0 II.

    2y2 + 11y + 9 = 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 Relationship between x & y cannot be established Correct Answer Incorrect Answer

    Solution

    I. 3x2 - 16x - 12 = 0 => 3x2 - 18x + 2x - 12 = 0 => 3x(x - 6) + 2(x - 6) = 0 => (x - 6) (3x + 2) = 0 => x = 6, -2/3 II. 2y2 + 11y + 9 = 0 => 2y2 + 9y + 2y + 9 = 0 => y (2y + 9) + 1(2y + 9) = 0 => (y + 1) (2y + 9) = 0 => y = -1, -9/2 Hence, x > y

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