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If 1 lies between the roots of the quadr...

If 1 lies between the roots of the quadratic equation `3x^2-(3sintheta)x-2cos^2theta=0`, then : (A) `-pi/3 lt theta lt(5pi)/3` (B) `npilttheta lt 2npi` (C) `2npi+pi/6 lt theta lt 2npi+(5pi)/6` (D) none of these

Text Solution

Verified by Experts

The correct Answer is:
`2n pi+(pi)/(6)lt theta lt 2n pi +(5pi)/(6)` and `theta ne (4n+1)pi//2, n in 1`
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