Let and + (1 − 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 , then the sum of all possible values of is

Let and + (1 − 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 , then the sum of all possible values of is

1 Answer

127 votes

Angle bisector is x − y = 0

⇒ =

⇒ = 3

⇒ = 2 or −1

Req. answer = 1

127 votes

127