JEE Main 28 Jan 2025 Shift 2 Paper

Let A,B,C be three points in xy-plane, whose position vector are given by √3

^

i

+

^

j

,

^

i

+√3

^

j

and a

^

i

+(1−a)

^

j

respectively with respect to the origin O. If the distance of the point C from the line bisecting the angle between the vectors

→

OA

and

→

OB

is ‌

9

√2

, then the sum of all the possible values of a is :