Two particles are projected from the same point with the same speed $u$ such that they have the same range $R$, but different maximum heights, $\mathrm { h } _ { 1 }$ and $\mathrm { h } _ { 2 }$. Which of the following is correct?\\
(1) $R ^ { 2 } = h _ { 1 } h _ { 2 }$\\
(2) $R ^ { 2 } = 4 h _ { 1 } h _ { 2 }$\\
(3) $R ^ { 2 } = 2 h _ { 1 } h _ { 2 }$\\
(4) $R ^ { 2 } = 16 h _ { 1 } h _ { 2 }$