Let `ABC` be a triangle in which `AB = A C`. Let L be the locus of points `X` inside or on the triangle such that `BX

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Q 1710112910.     Let `ABC` be a triangle in which `AB = A C`. 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 incentre of
`DeltaABC` is on `L`.

2. `L` is a straight line passing through `A` and
orthocentre of `DeltaABC` is a point on `L`.

3. `L` is a straight line passing through `A` and centroid of
`DeltaABC` is a point on `L`

Select the correct answer using the codes given below.
CDS 2016
A

`text(1 and 2)`

B

`text(2 and 3)`

C

`text(1and3)`

D

`text(1, 2 and 3)`

HINT


Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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