Statement I: Two forces ( P + Q ) and ( P - Q ) where P ⊥ Q, when act at an angle θ_1 to each other, the magnitude of their resultant is √(3( P^2+…

Statement I : Two forces $\displaystyle (\vec{P}+\vec{Q})$ and $\displaystyle (\vec{P}-\vec{Q})$ where $\displaystyle \vec{P} \perp \vec{Q}$, when act at an angle $\displaystyle \theta_1$ to each other, the magnitude of their resultant is $\displaystyle \sqrt{3\left(\mathrm{P}^2+\mathrm{Q}^2\right)}$, when they act at an angle $\displaystyle \theta_2$, the magnitude of their resultant becomes $\displaystyle \sqrt{2\left(\mathrm{P}^2+\mathrm{Q}^2\right)}$. This is possible only when $\displaystyle \theta_1<\theta_2$. 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 :