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    Question

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

    I. 35x² - 46x – 16 = 0 II. 35y² -

    116y + 96 = 0
    A x < y Correct Answer Incorrect Answer
    B x > y Correct Answer Incorrect Answer
    C x = y or no relationship cannot be established between x and y Correct Answer Incorrect Answer
    D x ≥ y Correct Answer Incorrect Answer
    E x ≤ y Correct Answer Incorrect Answer

    Solution

    I. 35x² - 46x – 16 = 0 35x² - 56x + 10x – 16 = 0 7x(5x – 8) + 2(5x – 8) = 0 (7x + 2) (5x – 8) = 0 ∴ x = -2/7, 8/5 II. 35y² - 116y + 96 = 0 35y² - 56y - 60y + 96 = 0 7y(5y – 8) – 12(5y – 8) = 0 (7y – 12) (5y – 8) = 0 ∴ y = 12/7, 8/5 Hence, x ≤ y

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