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Arithmetic Progression

The set of va...

Question

The set of values of $p$ for which the roots of the equation ${3 x}^{2} + 2 x + p (p - 1) = 0$ are of opposite signs are

(0, 1]

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[0, 1)

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(0, 1)

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(0, \frac{1}{2}]

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Solution

The correct options are
C $(0, 1)$
D $(0, \frac{1}{2}]$

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