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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 – 20p + 96 = 0 II. q2 – 23q + 132 = 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 Correct Answer Incorrect Answer
      E p = q or relationship between p and q can’t be established. Correct Answer Incorrect Answer

      Solution

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

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