If the points `(-2, 0), (-1,(1)/(sqrt(3)))` and `(cos theta, sin theta)` are collinear, then the number of value of `theta in [0, 2pi]` is

If the points (-2,0),(-1,(1)/(sqrt(3))) and (cos theta,sin theta) are collinear then the number of value of theta is :

If sin^2 theta = 1+cos^6 theta then number of values of theta in range (0, 2pi) is

If |(cos theta,-1,1),(cos2 theta,4,3),(2,7,7)|=0 , then the number of values of theta in [0, 1pi] is

If |[cos theta,-1,1],[cos2 theta,4,3],[2,7,7]|=0 then the number of values of theta in [0,2 pi]

If the system of linear equations {:((cos theta)x + (sin theta) y + cos theta=0),((sin theta)x+(cos theta)y + sin theta=0),((cos theta)x + (sin theta)y -cos theta=0):} is consistent , then the number of possible values of theta, theta in [0,2pi] is :

If the points (1,1):(0,sec^(2)theta); and (csc^(2)theta,0) are collinear,then find the value of theta

If sin theta =sqrt(3) cos theta, -pi lt theta lt 0 , then the value of theta is