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    Question

    In the question, two equations I and II are given. You

    have to solve both the equations to establish the correct relation between 'p' and 'q' and choose the correct option. I. 8p2 + (40+√2)p + 5√2 = 0 II. 9q2 - (27+13√2)q + 39√2 = 0
    A p > 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 or relationship between p and q can’t be established. Correct Answer Incorrect Answer

    Solution

    ATQ, I. 8p2 + (40+√2)p + 5√2 = 0 8p2 + 40p + √2p + 5√2 = 0 8p (p + 5) + √2 (p + 5) = 0 p = -5, -√2/8 II. 9q2 - (27+13√2)q + 39√2 = 0 9q2 – 27q - 13√2q + 39√2 = 0 9q (q- 3) - 13√2 (q - 3) = 0 q = 3, 13√2/9 Hence, p < q

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