If the value of $\frac{3x\sqrt{y}+2y\sqrt{x}}{3x\sqrt{y}-2y\sqrt{x}}-\frac{3x\sqrt{y}-2y\sqrt{x}}{3x\sqrt{y}+2y\sqrt{x}}$ is name as that of $\sqrt{x}\sqrt{y}$, then which of the following relations between x and y is correct ?

9x - 4y = 36 9x + 4y = 24 9x + 4y = 36 9x - 4y = 24

9x - 4y = 24