  \begin{abstract}
  In this article, we will get non-trivial estimates for the central values of
degree six Rankin-Selberg $L$-functions $L(1/2+it, \pi \times f)$ associated
with a ${GL(3)}$ form $\pi$ and a ${GL(2)} $ form $f$ using the delta symbol
approach in the hybrid settings i.e. in the level of ${GL(2)}$ form and
$t$-aspect.
  \end{abstract}
