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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. 195x² - 46x - 21 = 0 II. 209y² + 13y

    - 12 = 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. 195x² - 46x - 21 = 0 195x² + 45x - 91x - 21 = 0 15x(13x + 3) - 7(13x + 3) = 0 (13x + 3) (15x – 7) = 0 ∴ x = 7/15, -3/13 II. 209y² + 13y - 12 = 0 209y² + 57y - 44y - 12 = 0 19y(11y + 3) – 4(11y + 3) = 0 (19y – 4) (11y + 3) = 0 ∴ y = 4/19, -3/11 Hence, relationship cannot be established between x and y

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