Prove that the normal at `(am^(2),2am)` to the parabola `y^(2)=4ax` meets the curve again at an angle `tan^(-1)((1)/(2)m)`.

If the normal at (am^(2),-2am) to the parabola y^(2)=4ax intersects the parabola again at tan^(-1)|(m)/(k)| then find k .

The normal at (a,2a) on y^(2)=4ax meets the curve again at (at^(2),2at). Then the value of t=

If the normal at (am^2, -2am) to the parabola y^2 = 4ax intersects the parabola again at tan^-1|m/k| then find k.

The normal at (a,2a) on y^2 = 4ax meets the curve again at (at^2, 2at) . Then the value of t=

If the normal at t_(1) on the parabola y^(2)=4ax meet it again at t_(2) on the curve then t_(1)(t_(1)+t_(2))+2 = ?

If the normal at t_(1) on the parabola y^(2)=4ax meet it again at t_(2) on the curve then t_(1)(t_(1)+t_(2))+2 =

If the normal to the parabola y^(2)=4x at P(1,2) meets the parabola again in Q then Q=

The normal at t_(1) and t_(2) on the parabola y^(2)=4ax intersect on the curve then t_(1)t_(2)

Show that the normal at a point (at^2_1, 2at_1) on the parabola y^2 = 4ax cuts the curve again at the point whose parameter t_2 = -t_1 - 2/t_1 .