  We study the azimuthal distributions of Cherenkov photons in Extensive Air
Showers (EASs) initiated by $\gamma$-ray, proton and iron primaries of
different energies incident at various zenith angles over a high altitude
observation level. The azimuthal distributions of electrons and positrons along
with their asymmetric behaviour have also been studied here to understand the
feature of azimuthal distributions of Cherenkov photons in EASs. The main
motivation behind this study is to see whether the azimuthal distribution of
Cherenkov photons can provide any means to distinguish the $\gamma$-ray
initiated showers from that of hadron initiated showers in the ground based
$\gamma$-ray astronomy experiment. Apart from this, such study is also
important to understand the natures of $\gamma$-ray and hadronic showers in
general. We have used the CORSIKA 6.990 simulation package for generating the
showers. The study shows the double peak nature of the azimuthal distribution
of Cherenkov photons which is due to the separation of electron and positrons
in the azimuthal plane. The pattern of distribution is more sensitive for the
energy of the primary particle than it's angle of incidence. There is no
significant difference between distributions for $\gamma$-ray and handron
initiated showers.
