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`.

f the normal at the point P (at_1, 2at_1) meets the parabola y^2=4ax aguin at (at_2, 2at_2), then

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

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

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

The normal at any point P(t^(2), 2t) on the parabola y^(2) = 4x meets the curve again at Q, then the area( triangle POQ) in the form of (k)/(|t|) (1 + t^(2)) (2 + t^(2)) . the value of k is

If the normal at (1,2) on the parabola y^(2)=4x meets the parabola again at the point (t^(2),2t) then the value of t is

The normala at any point P (t^2, 2t) on the parabola y^2 = 4x meets the curve again at Q . Prove that the area of Delta AQP is k/|t| (1+t^2) (2+t^2) .

If the normal at(1, 2) on the parabola y^(2)=4x meets the parabola again at the point (t^(2), 2t) then the value of t, is

The normal drawn at a point (a t_1^2,-2a t_1) of the parabola y^2=4a x meets it again in the point (a t_2^2,2a t_2), then t_2=t_1+2/(t_1) (b) t_2=t_1-2/(t_1) t_2=-t_1+2/(t_1) (d) t_2=-t_1-2/(t_1)

The normal to the rectangular hyperbola xy = 4 at the point t_1 meets the curve again at the point t_2 Then