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    Question

    In each of these questions two equations numbered I and II are given. You have to solve both the equations and give answer, if –

    I. 18p²- 21p + 6 = 0       II. 16q² - 24q

    +9 = 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 Correct Answer Incorrect Answer

    Solution

    I. 18p² -21p +6 = 0 ⟹ 6p² - 7p + 2 = 0 ⟹6p²- 4p – 3p + 2 = 0 ⟹ 2p (3p - 2)-1(3p - 2) = 0 ⟹ (2p-1) (3p-2) = 0 ⟹ p = 1/2,2/3 II. 16q² - 24q + 9 = 0 ⟹ (4q - 3)² = 0 ⟹ q = 3/4 ∴ p < q

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