From the point (1,1) tangents are drawn to the curve represented parametrically as `x=2t-t^(2)and y=t+t^(2).` Find the possible points of contact.

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 all the lines that pass through the point (1, 1) and are tangent to the curve represent parametrically as x = 2t-t^2 and y = t + t^2

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

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 y = f(x) defined parametrically by x = 2t - |t - 1| and y = 2t^(2) + t|t| , then

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

The equation of the normal to the curve parametrically represented by x=t^(2)+3t-8 and y=2t^(2)-2t-5 at the point P(2,-1) is

If x=2t-3t^(2) and y=6t^(3) then (dy)/(dx) at point (-1,6) is

Consider the curve represented parametrically by the equation x = t^3-4t^2-3t and y = 2t^2 + 3t-5 where t in R .If H denotes the number of point on the curve where the tangent is horizontal and V the number of point where the tangent is vertical then

Show that the curve whose parametric coordinates are x=t^(2)+t+l,y=t^(2)-t+1 represents a parabola.