The circle does not touch or intersect the coordinate axes and the point (1, 4) is…

MATHEMATICS · Subjective · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

The circle x2+y2−6x−10y+λ=0x^2 + y^2 - 6x - 10y + \lambda = 0 does not touch or intersect the coordinate axes and the point (1, 4) is inside the circle. Find the range of values of λ\lambda .

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