# Try circles!

Geometry Level 5

Find the smallest positive integral value of $$a$$ for which the line $$y+x=0$$ bisects two chords drawn from a point $$\displaystyle\large ( \frac{1+\sqrt{2}a}{2} , \frac{1-\sqrt{2}a}{2} )$$ to the circle whose equation is $$\displaystyle\large x^{2}+y^{2}-(\frac{1+\sqrt{2}a}{2}) x-(\frac{1-\sqrt{2}a}{2})y=0$$

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