Find the angle at which normal at point `P(a t^2,2a t)` to the parabola meets the parabola again at point `Qdot`

If the normals drawn at the points t_(1) and t_(2) on the parabola meet the parabola again at its point t_(3) , then t_(1)t_(2) equals.

The normal at the point (bt_(1)^(2),2bt_(1)) on the parabola y^(2)=4bx meets the parabola again in the point (bt_(2)^(2),2bt_(2),) then

The normal at the point (b t_(1)^(2), 2b t_(1)) on a parabola meets the parabola again in the point (b t_(2)^(2), 2b t_(2)) then

The normal at a point P (36,36) on the parabola y^(2)=36x meets the parabola again at a point Q. Find the coordinates of Q.

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 .

The normal to the parabola y^(2)=8ax at the point (2, 4) meets the parabola again at the point

The normal at a point with parameter 2 on y^(2)=6x again meets the parabola at point