Find the equation to the locus represented by the parametric equations `x=2t^(2)+t+1, y=t^(2)-t+1`.

Find the equation of tangent to the curve reprsented parametrically by the equations x=t^(2)+3t+1and y=2t^(2)+3t-4 at the point M (-1,10).

Find the cartesian equation of the curve whose parametric equations are : x=t, y=t^(2)

Find the equation of curve whose parametric equations are x=2t-3,y=4t^(2)-1 is

The vertex of the parabola whose parametric equation is x=t^(2)-t+1,y=t^(2)+t+1,tinR , is

The focus of the conic represented parametrically by the equation y=t^(2)+3, x= 2t-1 is

The focus of the conic represented parametrically by the equation y=t^(2)+3, x= 2t-1 is

The Length of Latus rectum of the parabola whose parametric equation is , x=t^(2)+t+1 , y=t^(2)-t+1 where t in R

The Cartesian equation of the curve whose parametric equations are x=t^(2) +2t+3 and y=t+1 is a parabola (C) then the equation of the directrix of the curve 'C' is.(where t is a parameter)

The length of latusrectum of the parabola whose parametric equation is x=t^(2)+t+1 , y=t^(2)-t+1 where t in R