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    Question

    In each of the following questions, two equations are given. You have to solve both the equations to find the relation between x and y.

    I. 3x2 – 15x + 18 = 0 II. 

    2y2 – 40y + 198 = 0
    A x > y Correct Answer Incorrect Answer
    B x ≥ y Correct Answer Incorrect Answer
    C x = y or relationship can’t be determined. Correct Answer Incorrect Answer
    D x < y Correct Answer Incorrect Answer
    E x ≤ y Correct Answer Incorrect Answer

    Solution

    Answer: D 3x2 – 15x + 18 = 0 3x2 – 9x – 6x + 18 = 0 3x(x – 3) – 6(x – 3) = 0 (3x – 6)(x – 3) = 0 x = 2, 3 2y2 – 40y + 198 = 0 2y2 – 22y – 18y + 198 = 0 2y(y – 11) – 18(y – 11) = 0 (2y – 18)(y – 11) = 0 y = 9, 11 x < y

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