Statement I: Two forces $(\vec{P} + \vec{Q})$ and $(\vec{P} - \vec{Q})$ where $\vec{P} \perp \vec{Q}$, when act at an angle $\theta_1$ to each other, the magnitude of their resultant is $\sqrt{3 \left(P^2 + Q^2\right)}$, when they act at an angle $\theta_2$, the magnitude of their resultant becomes $\sqrt{2 \left(P^2 + Q^2\right)}$. This possible only when $\theta_1 < \theta_2$.
Statement II: In the situation given above $\theta_1 = 60^\circ \text{ and } \theta_2 = 90^\circ$.
In the light of the above statements, choose the most appropriate answer from the options given below:
