  The \textit{Kite graph}, denoted by $Kite_{p,q}$ is obtained by appending a
complete graph $K_{p}$ to a pendant vertex of a path $P_{q}$. In this paper,
firstly we show that no two non-isomorphic kite graphs are cospectral w.r.t
adjacency matrix. Let $G$ be a graph which is cospectral with $Kite_{p,q}$ and
the clique number of $G$ is denoted by $w(G)$. Then, it is shown that $w(G)\geq
p-2q+1$. Also, we prove that $Kite_{p,2}$ graphs are determined by their
adjacency spectrum.
