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Vector Algebra question

2019 · 11 Jan · Shift 2 · Q42

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2019 · 11 Jan · Shift 2 · Q42

Vector Algebra question

2019 · 11 Jan · Shift 2 · Q42

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\sqrt 3 \widehat i + \widehat j,\widehat i + \sqrt 3 \widehat j

and

\beta \widehat i + \left( {1 - \beta } \right)\widehat 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 \over {\sqrt 2 }}

, then the sum of all possible values of

\beta

is :

A
4
B
1
C
2
D
3

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