Let ABC be a triangle in which AB = AC. Let L be the locus of points X inside or on the triangle such that BX = CX. Which of the following statements are correct?

1. L is a straight line passing through A and in-centre 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.

Options