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Question

If roots of the equation 2x24x+2sinθ1=0 are of opposite sign, then θ belongs to

A
(π6,5π6)
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B
(0,π6)(5π6,π)
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C
(13π6,17π6)
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D
none of these
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Solution

The correct option is B (0,π6)(5π6,π)


Solution : 2x24x+2sinθ1=0
coefficient of x2 is positive
f(0)<0
2sinθ1<0
sinθ<12
θ(0,π6)(5π6,π)


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