Let the circle \(S: 36 x^{2}+36 y^{2}-108 x+120 y+C=0\) be such that it neither intersects nor touches the co-ordinate a…

Let the circle \(S: 36 x^{2}+36 y^{2}-108 x+120 y+C=0\) be such that it neither intersects nor touches the co-ordinate axes. If the point of intersection of the lines, \(x-2 y=4\) and \(2 x-y=5\) lies inside the circle \(S\), then :

[JEE Main 2021, 22 Jul (Shift 2)]