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    Question

    In each of these questions two equations numbered I and II are given. You have to solve both the equations and give answer, if –

    I. 3p² - 11p + 10 = 0 II. 2q² + 13q +

    21 = 0
    A p =q or relationship cannot be established between p and q. Correct Answer Incorrect Answer
    B p > q Correct Answer Incorrect Answer
    C p < q Correct Answer Incorrect Answer
    D p ≥ q Correct Answer Incorrect Answer
    E p ≤ q Correct Answer Incorrect Answer

    Solution

    I. 3p² - 11p + 10 = 0 3p² - 6p - 5p + 10 = 0 ⟹ 3p (p - 2) - 5 (p - 2) = 0 ⟹ (3p - 5) (p - 2)= 0 ⟹ p = 5/3, 2 II. 2q² + 13q + 21 = 0 ⟹ 2q² + 7q + 6q + 21 =0 ⟹q(2q + 7) + 3(2q + 7)= 0 ⟹ (2q + 7) (q + 3)= 0 ⟹ q = -7/2 , - 3 ∴ p > q.

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