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  2. Let ABCD be a square of side of unit length. Let a circle centered at A with unit radius is drawn. Another circle which touches
# Engineering

Let ABCD be a square of side of unit length. Let a circle C_{1} centered at A with unit radius is drawn. Another circle C_{2} which touches C_{1}  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_{2}  meet the side AB at E. If the length of EB is \alpha +\sqrt{3}\beta , where \alpha,\beta are integers, then \alpha+\beta is equal to _______________.
Option: 1 0
Option: 2 1
Option: 3 2
Option: 4 3

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