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=
Open in App
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