The point lies inside the circle

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

The point (1,4)(1, 4) lies inside the circle x2+y2−6x−10y+λ=0x^2 + y^2 - 6x - 10y + \lambda = 0 . If the circle neither touches nor cuts the axes, then the difference between the maximum and the minimum possible values of λ\lambda is

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