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_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.

Find the distance between the points : (at_1^2, 2at_1) and (at_2^2 , 2at_2)

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.

Find the distance between the points : ( at_1^2 , 2at_1) and (at_2 ^2, 2at_2)

Find the distance between the points : ( at_1^2 , 2at_1) and (at_2 ^2, 2at_2)

If the line joining the points (k,2,3),(1,1,2) is parallel to the line joining the points (5,4,-1),(3,2,-3) then k=

If the line joining the points (_x_1, y_1) and (x_2, y_2) subtends a right angle at the point (1,1), then x_1 + x_2 + y_2 + y_2 is equal to

Find the distance between the two points (at_1^2,2at_1),(at_2^2,2at^2),t_2gtt_1 .

The distance between the points (at_1^(2) , 2at_(1)) and (at_(2)^(2) ,2at_(2)) is