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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 - 17p + 22 = 0 II. 5q² - 21q +

    22 = 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 - 17p + 22 = 0 3p² -11p - 6p + 22 = 0 ⟹p (3p - 11) - 2 (3p - 11) = 0 ⟹ (3p - 11) (p - 2)= 0 ⟹ p= 11/3, 2 II. 5q² - 21q + 22 = 0 ⟹5q² - 11q - 10q + 22 =0 ⟹q(5q -11) - 2(5q - 11)= 0 ⟹ (5q - 11) (q - 2)= 0 ⟹ q = 11/5, 2 ∴ Relationship cannot be established between p and q.

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