We define a new parameter Ak,nβ²β involving Ramanujan's theta-functions
for any positive real numbers k and n which is analogous to the parameter
Ak,nβ defined by Nipen Saikia \cite{NS1}. We establish some modular
relation involving Ak,nβ²β and Ak,nβ to find some explicit values of
Ak,nβ²β. We use these parameters to establish few general theorems for
explicit evaluations of ratios of theta functions involving Ο(q)