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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) $1$

Show Answer

Answer: (4)


Learning Progress: Step 45 of 47 in this series