  The classification of the multipartite entanglement is an important problem
in quantum information theory. We propose a class of two qubit mixed states
$\sigma_{AB}=
p|\chi_{1}\rangle\langle\chi_{1}|\otimes\rho_{1}+(1-p)|\chi_{2}\rangle\langle\chi_{2}|\otimes\rho_{2}$,
where $|\chi_{1}\rangle=\alpha|0\rangle+\beta|1\rangle$,
$|\chi_{2}\rangle=\beta|0\rangle+(-1)^{n}\alpha|1\rangle$. We have shown that
the state $\sigma_{AB}$ represent a classical state when $n$ is odd while it
represent a non-classical state when $n$ is even. The purification of the state
$\sigma_{AB}$ is studied and found that the purification is possible if the
spectral decomposition of the density matrices $\rho_{1}$ and $\rho_{2}$
represent pure states. We have established a relationship between three tangle,
which measures the amount of entanglement in three qubit system and the
quantity $\langle\chi_{1}|\chi_{2}\rangle$, which identifies whether the two
qubit mixed state is classical or non-classical. The three qubit purified state
is then classified as a separable or biseparable or W-type or GHZ-type state
using the quantum correlation, measured by geometric discord, of its reduced
two qubit density matrix.
