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Position vector of ponts A, B, C are vec...

Position vector of ponts `A, B, C` are `veca, vecb, vecc` respectively which are by `veca=sqrt3hati+hatj`,`vecb=hati+sqrt3hatj, vecc=betahati+(1-beta)hatj`. If distance of point `C` from angle bisector of `OA` and `OB` is `3/sqrt2` then value of `beta` is (A) `1` (B) `2` (C) `4` (D) `3`

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