Area enclosed by the curve `y=f(x)` defined parametrically as `x=(1-t^2)/(1+t^2), y=(2t)/(1+t^2)` is equal

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

The curve described parametrically by x=t^(2)+t+1,y=t^(2)-t+1 represents :

Let a curve y=f(x) be defined parametrically as y=t^(3)+t^(2)+1,x=t^(2)+2,t>0. If g(x) is inverse function of f(x) then g'(3) is

Find the area enclosed by the curve x=3cos t,y=2sin t

The conic having parametric representation x=sqrt3((1-t^(2)/(1+t^(2))),y(=2t)/(1+t^(2)) is

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