Incentre of a Triangle

Q. The point where all the three interior angle bisectors of a triangle meet is called

Q. Two interior angle bisectors of a triangle meet at a point O. Without any other information, can we say that the point O is the incentre of the triangle? Answer in Yes/No.

Q. Incentre of a triangle can lie:

1. inside the triangle
2. on one of the sides of the triangle
3. outside the triangle
4. on one of the vertices of the triangle

Q. In $△ABC,AB\&CD$ are internal angle bisectors. Given that $\angle A={60}^o\&\angle C={40}^o$. Find the angle subtended by $AC$ on incentre of the triangle.

1. ${130}^o$
2. ${150}^o$
3. ${120}^o$
4. ${125}^o$

Q. In the adjoining figure, which of the following is the incentre of the triangle?

1. $D$
2. $O$
3. $P$