A Controversial Question :P

Calculus Level 4

Tangent to the circle x2+y2=4x^{2}+y^{2}=4 at any point on it in the first quadrant makes an intercepts OBOB and OAOA on the xx and yy axes respectively , OO being the centre of the circle.

Find the minimum value of OAOA + OBOB .

Since the answer is of the form aba\sqrt{b} , report the answer as a+ba+b .

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