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In a tetrahedron OABC, the edges are of ...

In a tetrahedron OABC, the edges are of lengths, `|OA|=|BC|=a,|OB|=|AC|=b,|OC|=|AB|=c.` Let `G_1 and G_2` be the centroids of the triangle ABC and AOC such that `OG_1 _|_ BG_2,` then the value of `(a^2+c^2)/b^2` is

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