Find the distances between the following pairs of points `(t_1 ^2,2t_1)` and `(t_ ^@2, 2t_2,),t_1` and `t_2`, are the roots of `x^2-2sqrt3x+2=0`

Find the distances between the following pairs of points (t_(1)^(2),2t_(1)) and (t,@2,2t_(2),),t_(1) and t_(2) are the roots of x^(2)-2sqrt(3)x+2=0

Find the distance between the points (at_(1)^(2), 2 at_(1)) and (at_(2)^(2), 2 at_(2)) , where t_(1) and t_(2) are the roots of the equation x^(2)-2sqrt(3)x+2=0 and a gt 0 .

Find the distance between the points (at_(1)^(2), 2 at_(1)) and (at_(2)^(2), 2 at_(2)) , where t_(1) and t_(2) are the roots of the equation x^(2)-2sqrt(3)x+2=0 and a gt 0 .

Find the distance between the points (at_(1)^(2), 2 at_(1)) and (at_(2)^(2), 2 at_(2)) , where t_(1) and t_(2) are the roots of the equation x^(2)-2sqrt(3)x+2=0 and a gt 0 .

Find the distance between the points (at_(1)^(2), 2 at_(1)) and (at_(2)^(2), 2 at_(2)) , where t_(1) and t_(2) are the roots of the equation x^(2)-2sqrt(3)x+2=0 and a gt 0 .

Find the equation of the straight lines passing through the following pair of point: (a t_1, a//t_1) and (a t_2, a//t_2)

Find the equation of the straight lines passing through the following pair of point: (a t_1, a//t_1) and (a t_2, a//t_2)

Find the equation of the straight lines passing through the following pair of point: (a t_1, a//t_1) and (a t_2, a//t_2)

Find the equation of the straight lines passing through the following pair of point: (a t_1, a//t_1) and (a t_2, a//t_2)

The distance between the two points (1,1) and (((2t^(2))/(1+t^(2))),((1-t)^(2))/(1+t^(2)))) is