The area of triangle formed by the tangents from the point (3, 2) to the hyperbola `x^2-9y^2=9` and the chord of contact w.r.t. the point (3, 2) is_____________

Find the equation of the two tangents from the point (1,2) to the hyperbola 2x^(2)-3y^2=6

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.

Prove that the line 5x+12y=9 touches the hyperbola x^(2)-9y^(2)=9 and find the point of contact.

Find the equations of the tangents drawn from the point (2, 3) to the ellipse 9x^2+16 y^2=144.

If tangents drawn from the point (a ,2) to the hyperbola (x^2)/(16)-(y^2)/9=1 are perpendicular, then the value of a^2 is _____

Find the points of contact Q and R of a tangent from the point P(2,3) on the parabola y^2=4xdot

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

Find the area of the triangle formed by any tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 with its asymptotes.

Tangent are drawn from the point (3, 2) to the ellipse x^2+4y^2=9 . Find the equation to their chord of contact and the middle point of this chord of contact.

Find the point on the hyperbola x^2-9y^2=9 where the line 5x+12 y=9 touches it.