Question

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

    I. 144x² - 163x - 65 = 0

    II. 91y² - 128y -48 = 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. 144x² - 163x - 65 = 0 144x² - 208x + 45x - 65 = 0 16x (9x – 13) + 5(9x – 13) = 0 (16x + 5) (9 x – 13) = 0 ∴ x = -5/16, 13/9 II. 91y² - 128y -48 = 0 91y² + 28y - 156y - 48 = 0 7y (13y + 4) – 12 (13 y + 4) = 0 (13 y + 4) (7y – 12) = 0 ∴ y = 12/7, -4/13 Hence, relationship cannot be established between x and y

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