Prove that the area of the triangle formed by any tangent to the hyperbola `xy=c^(2)` and the coordinate axes is constant.

Show that a triangle made by a tangent at any point on the curve xy =c^(2) and the coordinates axes is of constant area.

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.

The tangent and normal to the curve y=2sinx+sin2x are drown at P(x=pi/3) , then area of the quadrilateral formed by the tangent, the normal at P and the coordinate axes is

Show that the sum of the intercepts of the tangent to the curve sqrtx+sqrty=sqrta on the coordinate axes is constant.

(x) Find the area of the triangle formed by the straight line 2sqrt(ax)+y=a with the co-ordinates axes.

Find the area of the triangle formed by the staight line 2x - 3y = 6 with the coordinate axes .

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_____________

The area of the triangle produced by the straight line 5x + 6y = 15 and the coordinate axes is

The area of the triangle produced by the straight line 5x +6y = 15 and the coordinate axes is

The locus of centroid of triangle formed by a tangent to the parabola y^(2) = 36x with coordinate axes is (a) y^(2) =- 9x (b) y^(2) +3x = 0 (c) y^(2) = 3x (d) y^(2) = 9x