The equation of tangent to the curve `xy=c^(2)` at `(ct, (c )/(t))` is

The equation of normal to the curve xy= c^(3)" at "(ct, (c )/(t)) is

The slope of the tangent to the curve xy= c^2 at (ct,c/t) is

Find the equations of the normal to the curve x y=c^2 at (c t ,\ c//t) on it.

Subnormal to the curve xy = c^(2)/2 at (c/2,c) is

Find the equation of tangent of the curve x=at^(2), y = 2at at point 't'.

Find the equation of tangent of the curve x=at^(2), y = 2at at point 't'.

Find the equations of the tangent and the normal to the curve x y=c^2 at (c t ,\ c//t) at the indicated points.

The equation of common tangent to the curve y^2=4x and xy=-1 is

The equation of the common tangent to the curve y^(2)=-8x and xy=-1 is

The equation of a common tangent to the curves y^(2)=8x & xy= -1 is