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  • Question 1
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    If the function f (x) = 2x3 − 9ax2 + 12a2 x + 1, where a > 0, attains its maximum and minimum at p and q respectively such that p2 = q, then a equals

  • Question 2
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    The real number k for which the equation, 2x3 + 3x + k = 0 has two distinct real roots in [0, 1]

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