JEE Main 2025 Mathematics question
Let A, B, C be three points in xy-plane, whose position vectors are given by , and respectively with respect to the origin O. If the distance of the point C from the line bisecting the angle between the vectors and is , then the sum of all the possible values of a is :
Answer: (1)
Solution
Equation of angle bisector: x – y = 0. ⇒ a = 5 or –4. Sum = 5 + (–4) = 1