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.

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.

If the area of the quadrilateral by the tangents from the origin to the circle x^2+y^2+6x-10 y+c=0 and the radii corresponding to the points of contact is 15 , then a value of c is (a)9 (b) 4 (c) 5 (d) 25

If the area of the quadrilateral by the tangents from the origin to the circle x^2+y^2+6x-10 y+c=0 and the radii corresponding to the points of contact is 15 , then a value of c is (a)9 (b) 4 (c) 5 (d) 25

Find the angle between the pair of tangents from the point (1,2) to the ellipse 3x^2+2y^2=5.

The maximum distance of the point (4,4) from the circle x^2+y^2-2 x-15=0 is

A pair of tangents are drawn from the origin to the circle x^2 + y^2 + 20x +20y + 20 = 0 , The equation of pair of tangent is

Find the greatest distance of the point P(10 ,7) from the circle x^2+y^2-4x-2y-20=0

Find the equation of the tangents from the point (2,-3) to the parabola y^(2)=4x

A pair of tangents are drawn from the origin to the circle x^2+y^2+20(x+y)+20=0 . Then find its equations.

Find the equations of the tangents from the point (2,-3) to the parabola y^(2)=4x .