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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 тАУ 20p + 96 = 0 II. q2 тАУ 23q + 132 = 0
    A p > q Correct Answer Incorrect Answer
    B p < q Correct Answer Incorrect Answer
    C p тЙе q Correct Answer Incorrect Answer
    D p тЙд q Correct Answer Incorrect Answer
    E p = q or relationship between p and q canтАЩt be established. Correct Answer Incorrect Answer

    Solution

    ATQ, From I: p2 тАУ 20p + 96 = 0 p2 тАУ 12p тАУ 8p + 96 = 0 p(p тАУ 12) тАУ 8(p тАУ 12) = 0 (p тАУ 12)(p тАУ 8) = 0 p = 12, 8 From II: q2 тАУ 23q + 132 = 0 q2 тАУ 12q тАУ 11q + 132 = 0 q(q тАУ 12) тАУ 11(q тАУ 12) = 0 (q тАУ 12)(q тАУ 11) = 0 q = 12, 11 So, no relation can be established between p and q.

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