The tangent at any point on the curve xy = 4 makes intercepls on the coordinates axes as a and b. Then the value of ab is

If the tangent at any point on the curve x^4 + y^4 = c^4 cuts off intercepts a and b on the coordinate axes, the value of a^(-4/3)+b^(-4/3) is

The tangent at any point on the curve x^(4)+y^(4)=a^(4) cuts off intercepts p and q on the coordinate axes then the value of p^(-4 / 3)+q^(-4 / 3)=

If the tangent at any point on the curve x^(4)+y^(4)=c^(4) cuts off intercepts a and b on the coordinate axes,the value of a^(-(4)/(3))+b^(-(4)/(3)) is

The tangent to the curve xy = 25 at any point on it cuts the coordinate axes at A and B , then the area of the triangle OAB is

The tangent at any point P to a curve C intersects the coordinate axes at A and B. If P be the mid-point of the line segment AB and the curve passes through the point (1,1), find the equation of the curve C.

IF the tangent at any point P on the curve x^my^n=a^(m+n) , mn ne 0 meets the coordinate axes in A.B then show that AP:BP is a constant.

IF the tangent at a point on the curve x^(2//3)+y^(2//3)=a^(2//3) intersects the coordinate axes in A and B then show that the length AB is a constant.

The point on the curve y^(2) = 4ax at which the normal makes equal intercepts on the coordinate axes is