JEE PHYSICS MCQ: MOTION IN PLANE

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Analyzing +4 | -1

In a tetrahedron

O A B C

, the edges are of lengths,

|O A|=|B C|=a,|O B|=|A C|=b,|O C|=|A B|=c

. Let

G_1

and

C_2

be the centroids of the triangle

A B C

and

A O C

such that

O G_1 \perp B G_2

, then the value of

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

View answer and explanation

Correct option: B

Option B (3) is correct because by using the given condition

OG_1 \cdot BG_2 = 0

and the properties of centroids, we can derive the relationship

\frac{{a^2 + c^2}}{{b^2}} = 3

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