If `t_1a n dt_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 t1,22a t_1)a d n(a t2,22a t_2)` always passes through a fixed point. Also, find the point.

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 t1,22a t_1)a d n(a t2,22a t_2) always passes through a fixed point. Also, find the point.

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 t_1 and t_2 are the roots of the equation t^2+lambdat+1=0 ,where lambda is an orbitary constant,then prove that the line joining the point (at_1^2,2at_1) and (at_2^2,2at_2) always passes through a fixed point.Also find that point.

If t_(1) and t_(2) are roots of the equation t^(2)+lambda t+1=0 where lambda is an arbitrary constant.Then the line joining the points ((at_(1))^(2),2at_(1)) and (a(t_(2))^(2),2at_(2)) always passes through a fixed point then find that 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=

The circle passing through the points (1, t), (t, 1) and (t, t) for all values of t passes through the point

The circle passing through the points (1, t), (t, 1) and (t, t) for all values of t passes through the point

Find the slope of a line passing through the following point: (a t_1^2,2a t_1)a n d\ (a t_2^2,\ 2a t_2)

If 5a+5b+20c=t, then find the value of t for which the line ax+by+c-1=0 always passes through a fixed point.