JEE PYQ: Vector Algebra Question 45
Question 45 - 2019 (11 Jan Shift 2)
Let $\sqrt{3}\hat{i} + \hat{j}$, $\hat{i} + \sqrt{3}\hat{j}$ and $\beta \hat{i} + (1 - \beta)\hat{j}$ 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:
(1) $4$
(2) $3$
(3) $2$
(4) $1$