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

Question

$(a)\;(0,25) \qquad(b)\;(25,39)\qquad(c)\;(9,25)\qquad(d)\;(25,29)$