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

If the tangents at any point on the curve x^(4)+y^(4)=a^(4) cuts off intercept p and q on the axes,the value of p^(-(4)/(3))+q^(-(1)/(3)) is

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

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

If the tangent to the curve 2y^(3)=ax^(2)+x^(3) at the point (a,a) cuts off intercept alpha and beta on the co-ordinate axes , (where alpha^(2)+beta^(2)=61 ) then a^(2) equals ______

Find the equation of the plane which cuts off intercepts 3,6 and -4 from the axes of coordinates.

The abscissa of the point on the curve ay^(2)=x^(3), the normal at which cuts off equal intercepts from the coordinate axes is

Find the equation of the line that cuts off equal intercepts on the coordinate axes and passes through the point (4,7).