If I understood well, you are looking for vibration modes restricted to the plate plane. They are not usually the first frequencies and will appear between flexural modes. So, to make it easy just constrain all other displacements for all the nodes, e.g. with a plate aligned with Oxy plane just put UZ, ROTX, ROTY equal to zero and then your analysis will give only the in-plane modes. Hope it helps.
Thanks Miguel, yes its is the case in fact. I could do it using the plane 182 element which do not have out of plane displacement i.e. z displacement.
I should mention that I'm a new user and dont know much about ANSYS. Now I'm trying to get the nodal displacement data so that I can do curve fitting. i.e. for u(x,y) and v(x,y). Please if you can guide me to export the nodal displacements it will be highly appreciable.