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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. 8y² - 6y – 9 = 0 II. 6 x² - x

    – 12 = 0
    A if x>y Correct Answer Incorrect Answer
    B if x≥y Correct Answer Incorrect Answer
    C if x Correct Answer Incorrect Answer
    D if x ≤y Correct Answer Incorrect Answer
    E if x=y or the relationship cannot be established Correct Answer Incorrect Answer

    Solution

    I. 8y² - 6y – 9 = 0 8y² + 12 y - 6y – 9 = 0 4 y(2 y + 3) - 3 (2y+3)= 0 (4 y – 3) (2 y + 3) = 0 ∴ y = -3/2, 3/4 II. 6 x² - x – 12 = 0 6 x² - 9x + 8 x – 12 = 0 3 x (2 x – 3) + 4(2 x – 3) = 0 (2 x – 3) (3 x + 4) = 0 (2 x – 3) (3 x + 4) = 0 ∴ x = 3/2, -4/3 Hence, relationship cannot be established between x and y

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