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Q.

If roots of the equation $2 x^{2} - 4 x + 2 \sin θ - 1 = 0$ are of opposite sign, then ‘ $θ$ ’ belongs to

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a

$(\frac{13 π}{6}, \frac{17 π}{6})$

b

$(0, \frac{π}{6}) \cup (\frac{5 π}{6}, π)$

c

$(0, π)$

d

$(\frac{π}{6}, \frac{5 π}{6})$

answer is B.

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Detailed Solution

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Roots will be of opposite sing if product of roots is negative $\Rightarrow \sin θ < \frac{1}{2}$

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