The range of values of `theta` in the interval `(0, pi)` such that the points (3,5) and `(sin theta , cos theta)` lie on the same side of the line `x+y-1=0`, is

The set of all possible values of theta in the interval (0,pi) for which the points (1,2) and ( sin theta, cos theta) lie on the same side of the line x+y=1 is:

If (sin theta,cos theta) and (3,2) lie on the same side of the line x+y=1, then theta lies between

If the points (4,3) and (cos theta, sin theta) lies same side of the line x+y-1=0 ,then theta lies in which Quadrant?

The centroid of a triangle formed by the points (0,0), (costheta , sin theta) and (sin theta , -cos theta) lie on the line y = 2x , then theta is

The number of values of theta in (0, pi] , such that (cos theta + i sin theta) (cos 3 theta + i sin 3 theta) (cos 5 theta + i sin 5 theta) (cos 7 theta + i sin 7 theta) (cos 9 theta + i sin 9 theta) = -1 is

If theta in(0,2 pi) and 2sin^(2)theta-5sin theta+2>0 then the range of theta is