The points `(a t_1^2, 2 a t_1),(a t_2^2, 2a t_2) and (a ,0)` will be collinear, if

Show that the points (a t_1^2, 2 a t_1)(a t_2^2, 2 a t_2) and (a, 0) are collinear if t_1 t_2=-1

Show that the points (at_(1)^(2),2at_(1)) , (at_(2)^(2),2at_(2)) and (a,0) are collinear if t_1t_2 =-1 .

If the points : A(at_(1)^(2),2at_(1)),B(at_(2)^(2),2at_(2)) and C(a,0) are collinear,then t_(1)t_(2) are equal to

If the points (a ,0),(a t1 ^ 2,\ 2a t_1)a n d\ a t2^ 2,\ 2a t_2) are collinear, write the value of t_1t_2dot

The three distinct point A(t_(1)^(2),2t_(1)),B(t_(2)^(2),2t_(2)) and C(0,1) are collinear,if

The tangents at the points (a t_(1)^(2), 2 a t_(1)), (a t_(2)^(2), 2 a t_(2)) are right angles if

If t_1 a n d t_2 are roots of eth equation t^2+lambdat+1=0, where lambda is an arbitrary constant. Then prove that the line joining the points (a t1^2,2a t_1)a d n(a t2^2,2a t_2) always passes through a fixed point. Also, find the point.

If the line joining the points (at_1^2,2at_1)(at_2^2, 2at_2) is parallel to y=x then t_1+t_2=

If (t, 2t), (-2, 6), and (3, 1) are collinear, t =