The angle between the tangents from a point on `x^(2)+y^(2)+2x+4y-31=0` to the circle `x^(2)+y^(2)+2x+4y-4=0` is

The length of the tangent from a point on the circle x^(2)+y^(2)+4x6y-12=0 to the circle x^(2)+y^(2)+4x6y+4=0 is

The length of the tangent from any point on the circle x^(2)+y^(2)-2x-4y-5=0 to the circle 2x^(2)+2y^(2)-4x-8y-7=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

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 tangents drawn from the point (2, 6) to the parabola y^(2)-4y-4x+8=0 is

Tangents are drawn from a point on the circle x^(2)+y^(2)-4x+6y-37=0 to the circle x^(2)+y^(2)-4x+6y-12=0 . The angle between the tangents, is

if theta the angle between the tangents from (-1,0) to the circle x^(2)+y^(2)-5x+4y-2=0, then theta is equal to

The angle between the tangents drawn form the point (3, 4) to the parabola y^(2)-2y+4x=0 , is

Find the equation of the two tangents from the point (0,1) to the circle x^(2)+y^(2)-2x+4y=0

The equation of pair of tangents drawn from the point (0,1) to the circle x^(2) + y^(2) – 2x + 4y = 0 is–