# Let ABC be a triangle in which AB = AC. Let L be the locus that BX = CX

Let ABC be a triangle in which AB = AC. Let L be the locus that BX = CX. Which of the

following statements are correct?

1,L is a straight line passing through A and in-cetre of triangle ABC is on L.

2. L is a straight line passing through A and orthocentre of triangle ABC is a point on L.

3. L is a straight line passing through A and centroid of triangle ABC is a point on L.

Select the correct answer using the code given below.

(a) 1 and 2 only

(b) 2 and 3 only

(c) 1 and 3 only

(d) 1, 2 and 3