The locus of the point ` ( a cos ^3 theta, b sin ^ 3 theta ) ` where ` 0 le theta lt 2pi ` is

The locus of the point ( a cos theta, b sin theta ) where 0 le theta lt 2 pi is

The locus of the point ( a cos theta + b sin theta, a sin theta - b cos theta ) where 0 le theta lt 2pi is

The locus of the point (cosec theta - sin theta, sec theta - cos theta ) where 0 le theta lt 2pi is

The locus of the point (cot theta + cos theta, cot theta - cos theta ) where 0 le theta lt 2 pi is

The locus of the point ( a sec theta + b tan theta , bsec theta +atan theta) where 0 le theta lt 2pi is

The locus of the point (a sec theta, b tan theta ) where 0 le theta lt 2pi is

The locus of the point (cot theta+cos theta,cot theta-cos theta) where 0<=theta<2 pi is

The locus of the point (a(cos theta+sin theta),b(cos theta-sin theta)) where theta is the parameter is

Locus of the point (cos theta +sin theta, cos theta - sin theta) where theta is parameter is

Locus of the point (cos theta +sin theta, cos theta - sin theta) where theta is parameter is