Mathematics

Mathematics

Problem

Find the radius of the circle (xcos⁡α+ysin⁡α−a)2+(xsin⁡α−ycos⁡α−b)2=k2(x \cos \alpha + y \sin \alpha - a)^2 + (x \sin \alpha - y \cos \alpha - b)^2 = k^2 and if α\alpha varies, find the locus of its centre.

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