Plane meeting the axes with a given centroid of triangle ABC

1. A.
   $(2,3,4)$
2. B.
   $\frac{1}{2},\frac{1}{3},\frac{1}{4}$
3. C.
   $\frac{1}{6},\frac{1}{9},\frac{1}{12}$
4. D.
   $\frac{3}{2},\frac{3}{3},\frac{3}{4}$

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1. A.
   $\dfrac{6}{\sqrt{26}}$
2. B.
   $\dfrac{5}{\sqrt{26}}$
3. C.
   $\dfrac{4}{\sqrt{26}}$
4. D.
   $\dfrac{3}{\sqrt{26}}$

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1. A.
   $x + ry + r^2z = 3r^2$
2. B.
   $r^2x + ry + z = 3r^2$
3. C.
   $x + ry + r^2z = 3$
4. D.
   $r^2x + ry + z = 3$

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