Two persons Ram and Shyam wish to throw a ball at each other as shown in the figure. The maximum horizontal distance from the building where Ram can stand and still throw a ball at Shyam is d₁.The maximum horizontal distance of Ram from the building where Shyam can throw a ball at Ram is d₂. If both of them can throw the ball with a velocity of $\sqrt{2gk}$, find $\frac{d_1}{d_2}$. Neglect the height of each person.



(1) $\sqrt{\frac{k+h}{k-h}}$                           (2) $\sqrt{\frac{k-h}{k+h}}$
(3) $2\sqrt{\frac{k+h}{k-h}}$                         (4) $2\sqrt{\frac{k-h}{k+h}}$