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).

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

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

Find the equation of tangent to the curve x=sin3t , y=cos2t\ \ at t=pi/4

Find the equation of the tangent to the curve x=sin3t ,y=cos2t at t=pi/4dot

Find the equation of tangent of the curve x=at^(2), y = 2at at point 't'.

Find the cartesian equation of the curve whose parametric equations are : x=t, y=3t+5

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

Find the equation of normal to the curves x=t^2, y=2t+1 at point

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