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      Question

      I. 14p2 – 135p + 81 = 0 II.

      7q2 – 65q + 18 = 0 In the given questions, you will find two equations labeled as I and II. solve both equations and determine the accurate relationship between the variables 'p' and 'q'. Choose the correct option based on your analysis of the solutions.
      A p < q Correct Answer Incorrect Answer
      B p > q Correct Answer Incorrect Answer
      C p ≥ q Correct Answer Incorrect Answer
      D p = q or the relationship cannot be established Correct Answer Incorrect Answer
      E p ≤ q Correct Answer Incorrect Answer

      Solution

      ATQ, From I: 14p2 – 135p + 81 = 0 Or, 14p2 – 126p – 9p + 81 = 0 Or, 14p(p – 9) – 9(p – 9) = 0 Or, (14p – 9)(p – 9) = 0 Or, p = (9/14) or 9 From II: 7q2 – 65q + 18 = 0 Or, 7q2 – 63q – 2q + 18 = 0 Or, 7q(q – 9) – 2(q – 9) = 0 Or, (7q – 2)(q – 9) = 0 Or q = (2/7) or 9 So, no relation can be established between ‘p’ and ‘q’

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