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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. 5x² = 19x – 12

    II. 5y² + 11y = 12

    A if x = y or relationship between x and y can’t be established. 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 none of these Correct Answer Incorrect Answer

    Solution

    I. 5x² = 19x – 12  5x² - 19x + 12 = 0 5x² - 15x  - 4x + 12 = 0 5x(2x – 3) - 4 (x – 3) = 0 (5x – 4) (x – 3) = 0 x = 3, 4/5 II. 5y² + 11y = 12 5y² + 11y – 12 = 0 5y² + 15y  - 4y – 12 = 0 5y(y + 3)  - 4(y + 3) = 0 (5y – 4) (y + 3) = 0 y = - 3, 4/5 Hence x ≥ y.

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