Reach for the Summit - M-S6-A2

Geometry Level 3

As shown above, line ll is tangent to curve C:x2+y22x2y+1=0C:x^2+y^2-2x-2y+1=0 and it intersects with y-axis at point AA, x-axis at point BB, OO is the origin, OA>2,OB>2|OA|>2, |OB|>2. Then find the minimum area for AOB\triangle AOB.

Let SS denote the minimum area. Submit 1000S\lfloor 1000S \rfloor.


Reach for the Summit problem set - Mathematics

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