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Let O be the origin and the position vectors of A and B be k ˆ j ˆ 2 i ˆ 2 + + and k ˆ 4 j ˆ 4 i ˆ 2 + + respectively. If the internal bisector of ∠ AOB meets the line AB at C, then the length of OC is-

1. 34 3 2
2. 34 2 3
3. 31 2 3
4. 31 3 2

Correct answer: 34 3 2

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