Find the cartesian equation of the curve whose parametric equations are
`x = 7 + 4 cos alpha, y = -3 +4 sin alpha, 0 le alpha < 2pi`.

Find the vector equation of the plane whose cartesian form of equation is : 4x-6y+z=5

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 vector equation of the plane whose cartesian form of equation is : 7x-6y+4z+9=0

Find the equation of the circle whose centre is (a cos alpha, a sin alpha) and radius is a.

Find A^2 if A = [(cos alpha, sinalpha),(-sin alpha, cos alpha)]

Find the measure of the angle of intersection of the lines whose equations are 3x+4y+7=0 and 4x - 3y + 5 = 0

Find the equation of the following curve : x=a+c cos alpha, y=b+c sin alpha , where 0 le alpha< 2 pi , in cartesian form*. In case the curve is a circle, find its centre and radius.

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=1+2 cos alpha, y=3+2 sin alpha .