Area of the triangle formed by tangents and chord of contact of the circle `x^2+y^2+6x+8y=0`if tangents are drawn from the point(1,1)is

The area of triangle formed by tangents and the chord of contact from (3, 4) to y^(2 )= 2x 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 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.

The area of the triangle formed by the tangent at the point (a, b) to the circle x^(2)+y^(2)=r^(2) and the coordinate axes, 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 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.

Find the area of the triangle formed by the tangents drawn from the point (4, 6) to the circle x^2+y^2=25 and their chord of contact. Answer: (405sqrt(3))/52 sq. units

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

(i) Tangents are drawn from the point (alpha, beta) to the parabola y^2 = 4ax . Show that the length of their chord of contact is : 1/|a| sqrt((beta^2 - 4aalpha) (beta^2 + 4a^2)) . Also show that the area of the triangle formed by the tangents from (alpha, beta) to parabola y^2 = 4ax and the chord of contact is (beta^2 - 4aalpha)^(3/2)/(2a) . (ii) Prove that the area of the triangle formed by the tangents at points t_1 and t_2 on the parabola y^2 = 4ax with the chord joining these two points is a^2/2 |t_1 - t_2|^3 .