The equation of the chord of the ellipse $\frac{x^{2}}{25} + \frac{y^{2}}{16} = 1$, whose mid-point is $(3, 1)$ is:\\ (1) $48x + 25y = 169$\\ (2) $5x + 16y = 31$\\ (3) $25x + 101y = 176$\\ (4) $4x + 122y = 134$