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Question

Circles are drawn through the points (a,b) and (b,a) such that common chord substend an angle of 45° on the circumference on any of the circles. If distance between the centres is k times the radius of the smaller circle , then k=

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Solution

common chord substend an angle of 45° on the circumference
angle made by the same chord to centre of any circle will be 90° and radii of both the circles will be same


Hence we can say that both the circles will be orthogonal to eachother
distance between the centres =2 radius
k=2

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