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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 - 11√2p + 60 = 0          II. q2 - 10√3q + 72 = 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, I. p2 - 11√2p + 60 = 0            Pairs = -5√2, -6√2 And now dividing by 1 and by changing the sign we get,  p = 5√2, 6√2  p = 7, 8.4 (√2 = 1.4) II. q2 - 10√3q + 72 = 0 Pairs = -6√3,  -4√3 And now dividing by 1 and by changing the sign we get,  q = 6√3, 4√3 q = 10.2, 6.8  (√3 = 1.7) Hence, the relation between p and q cannot be established.

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