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      Question

      I. 10p² + 21p + 8 = 0 II. 5q² + 19q +

      18 = 0 In each of these questions two equations numbered I and II are given. You have to solve both the equations and give answer:
      A P=Qrelationship cannot be established between p and q. Correct Answer Incorrect Answer
      B P>Q Correct Answer Incorrect Answer
      C P Correct Answer Incorrect Answer
      D P>=Q Correct Answer Incorrect Answer
      E P<=Q Correct Answer Incorrect Answer

      Solution

      I. 10p² + 21p + 8 = 0 10p² + 16p + 5p + 8 = 0 ⟹ 2p(5p + 8) + 1(5p + 8) = 0 ⟹ (2p + 1)(5p + 8)= 0 ⟹ p = -1/2, -8/5 II. 5q² + 19q + 18 = 0 ⟹ 5 q² + 10q + 9q + 18 =0 ⟹5 q(q + 2) + 9(q + 2)= 0 ⟹ (5q + 9) (q + 2)= 0 ⟹ q = - 9/5 , - 2 Hence p > q.

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