QJEEM19Ma1d76: JEE Main 2019 Physics - Class 11 JEEM19Ma1d76 Solution: Let 3 i ^ + j ^ ,      i ^ + 3 j ^…

Let $$\sqrt{3}\hat{i}+\hat{j},$$    $$\hat{i}+\sqrt{3}\hat{j}$$  and   $$\beta \hat{i}+\left(1-\beta \right)\hat{j}$$ 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 $$\frac{3}{\sqrt{2}}$$, then the sum of all possible values of $$\beta$$ is :