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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. 9p2 + 108p + 243 = 0          II. 12q2 - 108q + 216 = 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. 9p2 + 108p + 243 = 0  Pairs = 27, 81 And now dividing by a and by changing the sign we get,  p = -3, -9 II. 12q2 - 108q + 216 = 0   Pairs = -36, -72 And now dividing by a and by changing the sign we get,  q = 3, 6 ∴  p < q.

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