find the area of the quadrilateral formed by a pair of tangents from the point (4,5) to the circle `x^2 + y^2 -4x -2y-11 = 0` and pair of its radii.

The area of the quadrilateral formed by the tangents from the point (4,5) to the circle x^(2)+y^(2)-4x-2y-11=0 with a pair of the radii joining the points of contact of these tangents 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

Find the pair of tangents from (4, 10) to the circle x^(2) + y^(2) = 25.

If the area of the quadrilateral formed by the tangent from the origin to the circle x^(2)+y^(2)+6x10y+c=0 and the pair of radii at the points of contact of these tangents to the circle is 8 sq.units,then c is a root of the equation

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

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

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

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