In the given figure, AP is bisector of angle A of △ ABC and DP is perpendicular bisector of side AB, then :

1. P is incenter of △ ABC

2. P is circumcenter of △ ABC

3. PB bisects angle B

4. none of these

Incenter of a triangle is the point of intersection of the :

1. perpendicular bisector of its sides

2. bisectors of its angles

3. one perpendicular of its side and bisector of any one angle of it

4. none of these.

For a regular hexagon of perimeter 18 cm inscribed in a circle, the radius of the circle is :

1. 6 cm

2. 9 cm

3. 3 cm

4. none of these

In triangle ABC, bisectors of angles A and B meet at point P.

Assertion (A): PC bisects angle C.

Reason(R): Bisectors of angles of a triangle are concurrent.

1. A is true, R is false.

2. A is false, R is true.

3. Both A and R are true and R is correct reason for A.

4. Both A and R are true and R is incorrect reason for A.