Find the equations of the tangent and normal to the parabola `y^(2) `= 4ax at the point `(at^(2)` , 2at).

The equation of the tangent to the parabola y^(2)=16 x at (1,4) is

Find the equation of tangent and normal to the curve 2y=3-x^(2) at (1, 1).

The equation of the tangent to the parabola y=x^(2)-x at the point x=1, is

The equation of the normal to the parabola y^(2)=8 x having slope 1 is

The equation of the normal to the parabola y^(2)=4 x which passes through the point (3,0) is

The equation of the tangent to the curve y^(2)=4ax at the point (at^(2), 2at) is :

Length of sub normal to the parabola y^(2) =4ax at any point is equal to

Find the equations of the tangent and normal to the curve x^(2/3)+y^((2)/(3))=2 at (1,1).

Find the equation of the normal to the parabola y^2=4x which is parallel to the line y=2x-5.

Find the equations of the tangent and normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (x^(0), y^(0)).