1.

Let \[2{{\sin }^{2}}x+3\sin x-2>0\] and \[{{x}^{2}}-x-2<0\] (x is measured in radians). Then x lies in the interval[IIT 1994]

A. \[\left( \frac{\pi }{6},\ \frac{5\pi }{6} \right)\]
B. \[\left( -1,\ \frac{5\pi }{6} \right)\]
C. \[(-1,\ 2)\]
D. \[\left( \frac{\pi }{6},\ 2 \right)\]
Answer» E.


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