Find the equation of the following curves in cartesian form. If the curve is a circle find the centres and radii. (i) `x = -1 + 2cosalpha, y = 3 + 2sinalpha.`

Find the equations of the following curves in cartesian form. Wherever the curve is a circle. Find its centre and radius : (i) x = 3 cosalpha , y = 3 sin alpha , (ii) x = at^(2) , y = 2at .

Find the equations of the following curves in cartesian form. Wherever the curve is a circle, find its centre and radius : x=1+2 cos alpha, y=3+2 sin alpha .

Find the equations of the following curves in cartesian form. Wherever the curve is a circle, find its centre and radius : x=5+3 cos alpha, y=7+3 sin alpha .

Find the equations of the following curves in cartesian form. Wherever the curve is a circle, find its centre and radius : x=3 cos alpha, y=3 sin alpha .

Find the equations of the following curves in cartesian form. Wherever the curve is a circle, find its centre and radius : x= 7+4 cos alpha, y= -3+4 sin alpha , where 0le alpha <2 pi .

Find the equations of the following curves in cartesian form. Wherever the curve is a circle, find its centre and radius : x= at^2, y=2at .

Find the equations of the following curves in cartesian form. Wherever the curve is a circle, find its centre and radius : x= 1/2 t+1, y= 2t-1 .

Find the equation of the tangent to the curve y=3x^2 at (1,1)

Find the equation of the tangent to the curve y=3x^2 at (1,1)

Find the equation of the tangent of the curve y=3x^(2) at (1, 1).