@blgt There is some difference , I found it finally.
The circuit is on directed graph and the cycle may be undirected graph. whereas the path can be differntiated by cycle and circuit by the point that path start from u vertex and may end at v vertex.(starting point and end point are not same) and it may even repeat the same vertex again but not the case with circuit. see this link for more information- http://www.esiee.fr/~coustyj/EnglishMorphoGraph/L3.pdf (i prefer to give the link in order to make it helpful for future refrence)