The range of values of `a` such that the angle `theta` between the pair of tangents drawn from `(a,0)` to the circle `x^2+y^2=1` satisfies `pi/2

The range of values of a such that the angle theta betweeen the pair of tangents drawn from (a,0) to the circle x^(2)+y^(2)=1 lies in ((pi)/(3),pi) is

The range of values of lambda,lambda>0 such that the angle theta between the pair of tangents drawn from (lambda,0) to the circle x^(2)+y^(2)=4 lies in ((pi)/(2),(2 pi)/(3)) is (a) ((4)/(sqrt(3)),(2)/(sqrt(2)))( b) (0,sqrt(2))(c)(1,2)(d) none of these

The exhaustive range of value of a such that the angle between the pair of tangents drawn from (a,a) to the circle x^(2)+y^(2)-2x-2y-6=0 lies in the range ((pi)/(3),pi) is

The angle between the pair of tangents drawn from the point (2,4) to the circle x^(2)+y^(2)=4 is

The angle between the pair of tangents drawn form (1, 3) to the parabola y^(2)=8x , is

The possible value of lamda(lamdagt0) such that the angle between the pair of tangents from point (lamda,0) to the circle x^(2)+y^(2)=4 lies in interval ((pi)/(2),(2pi)/(3)) is

Angle between the tangents drawn from point (4, 5) to the ellipse x^2/16 +y^2/25 =1 is

The pair of tangents from origin to the circle x^(2)+y^(2)+4x+2y+3=0 is

The angle between the pair of tangents from the point (1,(1)/(2)) to the circle x^(2)+y^(2)+4x+2y-4=0 is