Tangents and Normals of a parabola

Normals of parabola

Tangent and normal

Tangent and normal

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

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

Find the equations of the tangent and normal to the parabola : y^(2)=4ax" at "(at^(2), 2at)

Find the equation of the tangent and normal to the parabola y^2=4a x at the point (a t^2,\ 2a t) .

Show that the tangents and the normals to the parabola x=at^(2),y=2at at points corresponding to t=1 and t=-1 form a square.