Find the equation of the curve whose parametric equation are `x=1+4costheta,y=2+3sintheta,theta in Rdot`

Find the centre and radius of the circle whose parametric equation is x= -1+2 cos theta , y= 3+2 sin theta .

Solve the equation 2cos^2theta+3sintheta=0

Find the center of the circle x=-1+2costheta,y=3+2sintheta

Show that the equation of the normal to the curve x=a cos ^(3) theta, y=a sin ^(3) theta at 'theta ' is x cos theta -y sin theta =a cos 2 theta .

If theta is a parameter, find the equation of the locus of moving point, whose coordinates are x=acos^(3)y=asin^(3)theta .