Prove that the tangent at any point on the rectangular hyperbola `xy = c^2`, makes a triangle of constant area with coordinate axes.

Show that for rectangular hyperbola xy=c^(2)

If the straight line ax+by+c=0 make a triangle of constant area with coordinate axes, then

The parametric form of rectangular hyperbola xy=c^(2)

If lx+my+n=0 is a tangent to the rectangular hyperbola xy=c^(2) , then

The tangent at the point P on the rectangular hyperbola xy=k^(2) with C intersects the coordinate axes at Q and R. Locus of the coordinate axes at triangle CQR is x^(2)+y^(2)=2k^(2)(b)x^(2)+y^(2)=k^(2)xy=k^(2)(d) None of these

A,B,C are three points on the rectangular hyperbola xy=c^(2), The area of the triangle formed by the tangents at A,B and C.

Find the locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 form a triangle of constant area with the coordinate axes.

The locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 forms a triangle of constant area with the coordinate axes is a straight line (b) a hyperbola an ellipse (d) a circle