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      Question

      I. p2 - 19p + 88 = 0    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 ≥ q Correct Answer Incorrect Answer
      E if q ≥ p Correct Answer Incorrect Answer

      Solution

      I. p2 - 19p + 88 = 0   (p - 11) (p - 8) = 0  p = 11 or 8   II. q2 - 48q + 576 = 0   (q – 24) (q – 24) = 0   q = 24 or 24    Hence,  q > p   Alternate Method:   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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