Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let
and β
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 β is :
4
Text Solution
Verified by ExpertsThe correct answer is:
D
Since, the angle bisector of acute angle between OA and OB would be 

Since, the distance of C from bisector 
⇒
=
or β=-1
Hence , the sum of all possible value of β= 2+(-1)=1
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Let = - , = and be a vector such that and = 4 , then is equal to :
Let , and be three vectors such that the projection vector of on is .
If is perpendicular t…
Let and be three vectors such that and is perpendicular to Then a possible value of is :
Let and be two given vectors where vectors and are non –collinear . The value of λ for which v…
Let , and be coplanar vectors. Then the non-zero vector is:
The sum of the distinct real values of , for which the vectors
µ , are co-planer, is :
-1