a
The maximum range of projectile motion is given as,

\(R=\frac{u^{2} \sin 2 \theta}{g}\)

The time of flight of projectile motion is given as,

\(T=\frac{2 u \sin \theta}{g}\)

The square of time of flight of projectile motion is,

\(T^{2}=\left(\frac{2 u \sin \theta}{g}\right)^{2}\)

\(=\frac{4 u^{2} \sin ^{2} \theta}{g^{2}}\)

The ratio of maximum range and square of time of flight in projectile motion is calculated as,

\(\frac{R}{T^{2}}=\frac{\frac{u^{2} \sin 2 \theta}{g}}{\frac{4 u^{2} \sin ^{2} \theta}{g^{2}}}\)

\(=\frac{g}{2} \cot \theta\)