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      Question

      I. p2 – 15p + 56 = 0 II.

      q2 + 2q – 63 = 0 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.
      A p > q Correct Answer Incorrect Answer
      B p β‰₯ 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 p2βˆ’15p+56=0: Roots are p=7 and p=8. Solve q2+2q - 63 = 0: Roots are q = βˆ’9 and q = 7. Compare all cases: If p = 7, pβ‰₯q. If p = 8, p>q. Conclusion: p β‰₯ q

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