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If roots of the equation 2x^2-4x+2sinthe...

If roots of the equation `2x^2-4x+2sintheta-1=0` are of opposite sign, then `theta` belongs to `(pi/6,(5pi)/6)` (b) `(0,pi/6)uu((5pi)/6,pi)` `((13pi)/6,(17pi)/6)` (d) `(0,pi)`

A

`(pi/6, (5pi)/6)`

B

`(0, pi/6) uu ((5pi)/6, 2pi)`

C

`((13 pi)/6, (17 pi)/6)`

D

`(0, pi)`

Text Solution

Verified by Experts

The correct Answer is:
B
Roots will be of opposite sign if product of roots is negative
`rArr sin theta lt 1/2`
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