The locus of the point of intersection of the lines $\sqrt { 2 } x - y + 4 \sqrt { 2 } k = 0$ and $\sqrt { 2 } k x + k y - 4 \sqrt { 2 } = 0$ ( $k$ is any non-zero real parameter) is\\
(1) an ellipse whose eccentricity is $\frac { 1 } { \sqrt { 3 } }$\\
(2) a hyperbola whose eccentricity is $\sqrt { 3 }$\\
(3) a hyperbola with length of its transverse axis $8 \sqrt { 2 }$\\
(4) an ellipse with length of its major axis $8 \sqrt { 2 }$