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    Question

    I. p2 - 19p + 88 = 0┬а ┬а II.

    q2 - 48q + 576 = 0 In each question two equations are provided. On the basis of these you have to find out the relation between p and q. Give answer.
    A if p = q Correct Answer Incorrect Answer
    B if p > q Correct Answer Incorrect Answer
    C if q > p Correct Answer Incorrect Answer
    D if p тЙе q Correct Answer Incorrect Answer
    E if q тЙе p Correct Answer Incorrect Answer

    Solution

    I. p2┬а- 19p + 88 = 0 ┬а (p - 11) (p - 8) = 0┬а p = 11 or 8 ┬а II. q2┬а- 48q + 576 = 0 ┬а (q тАУ 24) (q тАУ 24) = 0 ┬а q = 24 or 24┬а ┬а Hence,┬а q > p ┬а Alternate Method: ┬а if signs of quadratic equation is -ve and +ve respectively then the roots of equation will be +ve and +ve. So, roots of first equation = p = 11, 8 So, roots of second equation = q = 24 After comparing roots of quadratic eqution we can conclude that p < q.

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