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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. p2 – 15p + 56 = 0 II.

    q2 + 2q – 63 = 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 or relationship between p and q can’t be established Correct Answer Incorrect Answer

    Solution

    ATQ,

    Solve p2−15p+56=0: Roots are p=7 and p=8. Solve q2+2q - 63 = 0: Roots are q = −9 and q = 7. Compare all cases: If p = 7, p≥q. If p = 8, p>q. Conclusion: p ≥ q

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