Distance of point from lineMedium

Distance from Angle Bisector Line

Let A, B, C be three points in xy-plane, whose position vector are given by $\sqrt 3 \,\hat i + \hat j$ , $\hat i + \sqrt 3 \hat j$ and $a\hat i + (1-a)\hat j$ respectively with respect to the origin O. If the distance of the point C from the line bisecting the angle between the vectors $\overrightarrow {OA}$ and $\overrightarrow {OB}$ is $\frac{9}{{\sqrt 2 }}$ , then the sum of all the possible values of a is :

SELECT ONE OPTION

Ask about this question