Mathematics

Mathematics

Problem

Find the range of parameter 'a' for which the variable line y=2x+ay = 2x + a lies between the circle x2+y2−2x−2y+1=0x^2 + y^2 - 2x - 2y + 1 = 0 and x2+y2−16x−2y+61=0x^2 + y^2 - 16x - 2y + 61 = 0 without intersecting or touching either circle. The given circles are

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