Area of triangle formed by two tangents from `(x_1, y_1)` to the circle S=0 and chord of contact of `(x_1, y_1)` is, (r is radius of circle)

The area of the triangle formed by the tangents from (1,3) to the circle x^(2)+y^(2)-4x+6y+1=0 and its chord of contact is

The area of the triangle formed by the tangents from (1,3) to the circle x^(2)+y^(2)-4x+6y+1=0 and its chord of contact is

Find the area of the triangle formed by two tangents drawn from (3,5) to the circle x^(2)+y^(2)=16 and the chord of contact of (3,5)

Find the area of the triangle formed by two tangents drawn from (3,5) to the circle x^(2)+y^(2)=16 and the chord of contact of (3,5)

Area of the triangle formed by the tangents from (x_1,y_1) to the parabola y^2 = 4 ax and its chord of contact is (y_1^2-4ax_1)^(3/2)/(2a)=S_11^(3/2)/(2a)

Area of the triangle formed by the tangents from (x_1,y_1) to the parabola y^2 = 4 ax and its chord of contact is (y_1^2-4ax_1)^(3/2)/(2a)=S_11^(3/2)/(2a)

The area of the triangle formed by two tangents from " (1,1) " to " x^(2)+y^(2)+4x+6y+4=0 " and their chord of contact is :

Show that the area of the triangle formed by the two tangents through P(x_(1),y_(1)) to the circle S=x^(2)+y^(2)+2gx+2fy+c=0 and the chord of contact of P w.r.t S=0 is (r(S_(11))^(3//2))/(S_(n)+r^(2)) , where r is the radius of the circle.

Transverse common tangents are drawn from O to the two circles C_1,C_2 with 4, 2 respectively. Then the ratio of the areas of triangles formed by the tangents drawn from O to the circles C_1 and C_2 and chord of contacts of O w.r.t the circles C_1 and C_2 respectively is