If the point $( 1,4 )$ lies inside the circle $x ^ { 2 } + y ^ { 2 } - 6 x + 10 y + p = 0$ and the circle does not touch or intersect the coordinate axes, then the set of all possible values of $p$ is the interval\\
(1) $( 25,39 )$\\
(2) $( 25,29 )$\\
(3) $( 0,25 )$\\
(4) $( 9,25 )$