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 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 (2,1) to the circle x^(2)+y^(2)=4 is

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

Find the area of the quadrilateral formed by common tangents drawn from a point P to the circle x^(2) + y^(2) = 8 and the parabola y^(2) =16x , chord of contact of tangents to the circle and chord of contact of tangents to the parabolas.

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

Find the area of the triangle formed by the tangents from the point (4, 3) to the circle x^2+y^2=9 and the line joining their points of contact.

Find the area of the triangle formed by the tangents from the point (4, 3) to the circle x^2+y^2=9 and the line joining their points of contact.

A circle C_(1) of radius 2 units rolls o the outerside of the circle C_(2) : x^(2) + y^(2) + 4x = 0 touching it externally. Area of a quadrilateral found by a pair of tangents from a point of x^(2) + y^(2) + 4x -12 = 0 to C_(2) with a pair of radii at the points of contact of the tangents is ( in sq. units )

Find the equations of the tangents from the point A(3,2) to the circle x^(2)+y^(2)+4x+6y+8=0 .

Find the area of the quadrilateral formed by the lines y=2x+3 , y=0, x=4, x=6 .