Let √3 i + j, √ i + 3 j and β i+ (1-β)j − 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 theacute angle between OA and OB is 3/√2 , then the sum of all possible values of β is (2019 Main)(a) 1 (b) 3(c) 4 (d) 2

Let √3 i + j, √ i + 3 j and β i+ (1-β)j − respectively be the

1.	Let √3 i + j, √ i + 3 j and β i+ (1-β)j − 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 theacute angle between OA and OB is 3/√2 , then the sum of all possible values of β is (2019 Main)(a) 1 (b) 3(c) 4 (d) 2
Answer» Let √3 i + j, √ i + 3 j and β i+ (1-β)j − 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 3/√2 , then the sum of all possible values of β is (2019 Main) (a) 1 (b) 3 (c) 4 (d) 2