  Quantum state space is endowed with a metric structure and Riemannian
monotone metric is an important geometric entity defined on such a metric
space. Riemannian monotone metrics are very useful for information-theoretic
and statistical considerations on the quantum state space. In this article,
considering the quantum state space being spanned by 2x2 density matrices, we
determine a particular Riemannian metric for a state \r{ho} and show that if
\r{ho} gets entangled with another quantum state, the negativity of the
generated entangled state is, upto a constant factor, equals to square root of
that particular Riemannian metric . Our result clearly relates a geometric
quantity to a measure of entanglement. Moreover, the result establishes the
possibility of understanding quantum correlations through geometric approach.
