JEE Main 16 March 2021 Shift 1 Solved Paper

Let ABCD be a square of side of unit length. Let a circle C1 centred at A with unit radius is drawn. Another circle C2, which touches C1 and the lines AD and AB are tangent to it, is also drawn. Let a tangent line from the point C to the circle C2 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 ...... .