# Reach for the Summit - M-S6-A2

Geometry Level 3

As shown above, line $l$ is tangent to curve $C:x^2+y^2-2x-2y+1=0$ and it intersects with y-axis at point $A$, x-axis at point $B$, $O$ is the origin, $|OA|>2, |OB|>2$. Then find the minimum area for $\triangle AOB$.

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

Reach for the Summit problem set - Mathematics

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