If the tangents at `t_1,t_2,t_3` on `y^2=4ax` make angles `30^@, 45^@, 60^@` with the axis then `t_1,t_2,t_3` are in

If the tangents to the parabola y^(2)=4ax make complementary angles with the axis of the parabola then t_(1),t_(2)=

If the tangents at t_(1) and t_(2) to a parabola y^2=4ax are perpendicular then (t_(1)+t_(2))^(2)-(t_(1)-t_(2))^(2) =

If the orthocentre of the triangle formed by the points t_1,t_2,t_3 on the parabola y^2=4ax is the focus, the value of |t_1t_2+t_2t_3+t_3t_1| is

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

From a point P (h, k), in general, three normals can be drawn to the parabola y^2= 4ax. If t_1, t_2,t_3 are the parameters associated with the feet of these normals, then t_1, t_2, t_3 are the roots of theequation at at^2+(2a-h)t-k=0. Moreover, from the line x = - a, two perpendicular tangents canbe drawn to the parabola. If the tangents at the feet Q(at_1^2, 2at_1) and R(at_1^2, 2at_2) to the parabola meet on the line x = -a, then t_1, t_2 are the roots of the equation

" If the normal at the point " t_(1)(at_(1)^(2),2at_(1)) " on " y^(2)=4ax " meets the parabola again at the point " t_(2) " ,then " t_(1)t_(2) =

If the chord joining the points t_(1) and t_(2) on the parabola y^(2)=4ax subtends a right angle at its vertex then t_(2)=

Show that the area formed by the normals to y^2=4ax at the points t_1,t_2,t_3 is