In a tetrahedron

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

In a tetrahedron

OABC

, the edges have lengths

|OA|=|BC|=a

|OB|=|AC|=b

, and

|OC|=|AB|=c

. Let

G_1

and

G_2

be the centroids of triangles

ABC

and

AOC

, respectively. If

OG_1\perp BG_2

, then the value of

\frac{a^2+c^2}{b^2}

is (1) 2 (2) 3 (3) 6 (4) 9