A circle touches the $y$-axis at the point $( 0,4 )$ and passes through the point $( 2,0 )$. Which of the following lines is not a tangent to this circle?\\
(1) $4 x - 3 y + 17 = 0$\\
(2) $3 x - 4 y - 24 = 0$\\
(3) $3 x + 4 y - 6 = 0$\\
(4) $4 x + 3 y - 8 = 0$