The point (1,4) are inside the circle S:...

The point `(1,4)` are inside the circle `S: x^2+y^2-6x-10y+k=0`. What are the possible values of `k` if the circle S neither touches the axes nor cut them

`0 lt p lt 34`

`25 lt p lt 29`

`9 lt p lt 25`

`9 lt p lt 29`

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