Circles Coordinate for JEE/CAT/IPMAT The circle x^2 + y^2 - 6x - 10y + k = 0 does not touch or 

The circle x^2 + y^2 - 6x - 10y + k = 0 does not touch or intersect the coordinate axes. If the point (1, 4) does not lie outside the circle, and the range of k is (a, b] then a + b is