A locus is the curve traced out by a point which moves under certain geomatrical conditions: To find the locus of a point first we assume the co-ordinates of the moving point as `(h,k)` and then try to find a relation between h and k with the help of the given conditions of the problem. If there is any variable involved in the process then we eliminate them. At last we replace h by x and k by y and get the locus of the point which will be an equation in x and y. On the basis of above information, answer the following questions Locus of centroid of the triangle whose vertices are `(acost, asint), (bsint,-b cost) and (1, 0)` where t is a parameter is -