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 on L.(3) L is a straight line passing through A and centroid of triangle ABC is on L.Select the correct answer using the code given below.

Let ABC be a triangle in which AB = AC. Let L be the locus of points X

1.	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 on L.(3) L is a straight line passing through A and centroid of triangle ABC is 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
Answer» E.

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