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The centroid of an equilateral triangle ...

The centroid of an equilateral triangle is (0, 0). If two vertices of the triangle lie on `x+y=2sqrt(2),` then one of them will have its coordinates.
(a) `(sqrt(2)+sqrt(6),sqrt(2)-sqrt(6))` (b)`(sqrt(2)+sqrt(3),sqrt(2)-sqrt(3))` (c)`(sqrt(2)+sqrt(5),sqrt(2)-sqrt(5))` (d) none of these

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