## Question

### Solution

Correct option is Taking O as the origin, the position vectors of A and B are respectively. So, the bisector OC of meets AB at its mid-point C.  ALITER:-  The vector equation of the bisector of ∠AOB is given by  The vector equation of line AB is For the point C to lie on AB, we must have     #### SIMILAR QUESTIONS

Q1

ABCD is a parallelogram with AC and BD as diagonals. Then, Q2

If OACB is a parallelogram with Q3

If G is the intersection of diagonals of a parallelogram ABCD and O is any point, then Q4

Let G be the centroid of âˆ† ABC. If in terms of , is

Q5

The position vectors of the points ABC are , respectively. These points

Q6

If the points with position vectors are collinear, then p =

Q7

If the position vector of a point A is divides AB in the ratio 2 : 3, then the position vector of B is

Q8

If are three non-zero vectors, no two of which are collinear and the vector is collinear with is collinear with , then Q9

If points are collinear, then a is equal to

Q10

If the vector bisects the angle between the vector and the vector then the unit vector in the direction of is