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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 – 2p – 15 = 0 II.

    q2 + 4q – 12 = 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, p2 - 2p - 15 = 0 p2 - 5p + 3p - 15 = 0 p(p-5)+3(p-5) = 0 (p-5)(p+3) = 0 p = 5,-3 From - II q2 +4q -12 = 0 q2 + 6q - 2q -12 = 0 q(q+6) - 2(q+6) = 0 (q+6)(q-2) = 0 q = -6 , 2 Henc, p = q or relationship between p and q can’t be established.

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