Find the area of the triangle formed by a tangent to the hyperbola `xy=1` and its asymptotes.

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

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.

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.

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.

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.

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

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

Prove that the portion of the tangent of the rectangular hyperbola intercepted between the asymptotes is bisected at the point of contact and the area of the triangle formed by the tangent and the two asymptotes is constant.