If the normals at points `t_1a n dt_2` meet on the parabola, then `t_1t_2=1` (b) `t_2=-t_1-2/(t_1)` `t_1t_2=2` (d) none of these

If the normals at P(t_(1))andQ(t_(2)) on the parabola meet on the same parabola, then

t 1 and  t 2 are two points on the parabola y^2 =4ax . If the focal chord joining them coincides with the normal chord, then  (a) t1(t1+t2)+2=0 (b) t1+t2=0 (c) t1*t2=-1 (d) none of these     

if the normal at the point t_(1) on the parabola y^(2) = 4ax meets the parabola again in the point t_(2) then prove that t_(2) = - ( t_(1) + 2/t_(1))

If the normal to the parabola y^2=4a x at point t_1 cuts the parabola again at point t_2 , then prove that t_2 2geq8.

Determine the tension T_(1) and T_(2) in the strings

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 derivative of the function g(t) = ((t-2)/(2t+1)) .

Prove that the length of the intercept on the normal at the point P(a t^2,2a t) of the parabola y^2=4a x made by the circle described on the line joining the focus and P as diameter is asqrt(1+t^2) .