Find the equation of tangent and normal to the curve `x=(2a t^2)/((1+t^2)),y=(2a t^3)/((1+t^2))` at the point for which `t=1/2dot`

Find the equation of tangent and normal to the curve x=(2at^(2))/((1+t^(2))),y=(2at^(3))/((1+t^(2))) at the point for which t=(1)/(2).

(i) Find the equation of tangent to curve y=3x^(2) +4x +5 at (0,5) (ii) Find the equation of tangent and normal to the curve x^(2) +3xy+y^(2) =5 at point (1,1) on it (iii) Find the equation of tangent and normal to the curve x=(2at^(2))/(1+t^(2)) ,y=(2at^(2))/(1+t^(2)) at the point for which t =(1)/(2) (iv) Find the equation of tangent to the curve ={underset(0" "x=0)(x^(2) sin 1//x)" "underset(x=0)(xne0)" at "(0,0)

Find the equations of the tangent and the normal to the curve x=a t^2,\ \ y=2a t at t=1 .

Find the equations of the tangent and the normal to the curve x=a t^2,\ \ y=2a t at t=1 .

Find the equations of the tangent and normal to the curve x=sin3t.,y=cos2t at t=(pi)/(4)

Find the equation of normal to the curves x=t^(2),y=2t+1 at point

Find the equation of normal to the curves x=t^2, y=2t+1 at point

Find the equation of the tangents and normal to the curve x= sin 3t, y= cos 2t " at " t=(pi)/(4)