Consider a $$\Delta$$ABC satisfying $$2a{\sin ^2}\left( {{C \over 2}} \right) + 2c{\sin ^2}\left( {{A \over 2}} \right) = 2a + 2c - 3b$$

The sides of the tringle are in

Consider a $$\Delta$$ABC satisfying $$2a{\sin ^2}\left( {{C \over 2}} \right) + 2c{\sin ^2}\left( {{A \over 2}} \right) = 2a + 2c - 3b$$

sin A, sin B, sin C are in

In a triangle ABC, a $$-$$ 2b + c = 0. The value of $$\cot \left( {{A \over 2}} \right)\cot \left( {{C \over 2}} \right)$$ is

Consider the following statements :

Statement I

If the line segment joining the points P(m, n) and Q(r, s) subtends an angle $$\alpha$$ at the origin, then $$\cos \alpha = {{ms - nr} \over {\sqrt {({m^2} + {n^2})({r^2} + {s^2})} }}$$.

Statement II

In any triangle ABC, it is true that $${a^2} = {b^2} + {c^2} - 2bc\cos A$$.

Which one of the following is correct in respect of the above two statements?