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

If the distance between the points (t^(2),2/t^(2)) and ((1)/(t^(2)),-2t^(2)) is (25)/(4) units, where t is a non-zero integer,then (t^(2)-(1)/(t^(2))) is equal to

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

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

If x = (2t)/(1+t^(2)), y = (1-t^(2))/(1+t^(2)) then dy/dx =

The area (in sq. units) enclosed between the curve x=(1-t^(2))/(1+t^(2)), y=(2t)/(1+t^(2)), AA t in R and the line y=x+1 above the line is

The area (in sq. units) enclosed between the curve x=(1-t^(2))/(1+t^(2)), y=(2t)/(1+t^(2)), AA t in R and the line y=x+1 above the line is

Find the derivatives of the following : x = (1-t^2)/(1+t^2), y = (2t)/(1+t^2)

Find the derivatives of the following : x=(1-t^(2))/(1+t^(2)), y=(2t)/(1+t^(2))

Show that the point : x=(2rt)/(1+t^2), y=(r(1-t^2))/(1+t^2) (r constant) lies on a circle for all values of t such that -1 le t le 1 .