The orthocenter, circumcenter, centroid, and incenter of the triangle formed by the line \( y+x=...

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The orthocenter, circumcenter, centroid, and incenter of the triangle formed by the line \( y+x=a \) with the coordinate axes lie on
(a) \( x^{2}+y^{2}=1 \)
(b) \( y=x \)
(c) \( y=2 x \)
(d) \( y=3 x \)
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