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Let j ˆ i ˆ 3 + , j ˆ 3 i ˆ + and j ˆ ) 1 ( i ˆ β − + β respectively be the position vectors of the points A, B and C with respect to the origin O. If the distance of C from the bisector of the acute angle between OA and OB is 2 3 , then the sum of all possible values of β is :

1. 4
2. 1
3. 2
4. 3

Correct answer: 1

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