Tangents are drawn from the point (h,k) to ^circle `x^2+y^2 =a^2`; Prove that the area of the triangle formed by them and the straight line joining their point of contact is `(a (h^2+k^2-a^2)^(3/2))/ (h^2 + k^2)`

Tangents are drawn from the point (h,k) to 'circle x^(2)+y^(2)=a^(2) ; Prove that the area of the triangle formed by them and the straight line joining their point of contact is a(h^(2)+k^(2)-a^(2))^((1)/(2))h^(2)+k^(2)

Tangents are drawn from the point (4,3) to circle x^(2)+y^(2)=9. The area of the triangle forme by them and the line joining their point of contact is

Tangents are drawn from the point (-1,2) to the parabola y^(2)=4x The area of the triangle for tangents and their chord of contact 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.

Two chords are drawn from the point P(h,k) on the circle x^(2)+y^(2)=hx+ky. If the y-axis divides both the chords in the ratio 2:3, then

The area of the triangle formed by the tangent drawn at the point (-12,5) on the circle x^(2)+y^(2)=169 with the coordinate axes is:

Tangents drawn from P(6,8) to a circle x^(2)+y^(2)=r^(2) forms a triangle of maximum area with chord of contact,then r=