Let ABCD be a square of side of unit length. Let a circle C? centered at A with unit radius is drawn. Another circle C? which touches C? and the lines AD and AB are tangent to it, is also drawn. Let a tangent line from the point C to the circle C? meet the side AB at E. if the length of EB is α + √3β, where α, β are integers, then α + β is equal to.......... + √3β, where α, β are integers, then α + β is equal to..........
Let ABCD be a square of side of unit length. Let a circle C? centered at A with unit radius is drawn. Another circle C? which touches C? and the lines AD and AB are tangent to it, is also drawn. Let a tangent line from the point C to the circle C? meet the side AB at E. if the length of EB is α + √3β, where α, β are integers, then α + β is equal to.......... + √3β, where α, β are integers, then α + β is equal to..........
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