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    Question

    I. p2 – 5p + 6 =

    0                   II. 36q2 = 81 In the following questions two equations numbered I and II are given. You have to solve both the equations. Give answer if; (1) p = q or relationship cannot be established between p and q (2) p > q  (3) p < q (4) p  ≤   q (5) p   ≥ q 
    A 1 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C 3 Correct Answer Incorrect Answer
    D 4 Correct Answer Incorrect Answer
    E 5 Correct Answer Incorrect Answer

    Solution

    I. p2 – 5p + 6 = 0   ⟹ p2 – 2p – 3p +6 = 0                         ⟹ p (p - 2) – 3(p - 2) = 0 ⟹ (p - 3)(p - 2) = 0                              ⟹ p = 3, 2 II.36q2 = 81 ⟹ (6 q)2 = 92 ⟹ q =  ± 3/2  Hence, p > q

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