  In this article, we study the rare decays corresponding to $b \to d$
transition in the framework of the covariant confined quark model. The
transition form factors for the channels $B^{+(0)} \to (\pi^{+(0)},
\rho^{+(0)},\omega)$ and $B_s^0 \to K^{(*)0}$ are computed in the entire
dynamical range of momentum transfer squared. Using the form factors, we
compute the branching fractions of the rare decays and our results are found to
be matching well with the experimental data. We also compute the ratios of the
branching fractions of the $b \to s$ to $b \to d$ rare decays using the inputs
from previous papers on $b \to s \ell^+\ell^-$ using this model. Further, using
the form factors, model dependent and independent parameters, we also compute
different other physical observables such as forward backward asymmetry,
longitudinal polarization and angular observables in the entire $q^2$ range as
well as in $q^2$ bins [0.1 -- 0.98] GeV$^2$ and [1.1 -- 6] GeV$^2$. We also
compare our findings with different theoretical predictions.
