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

A regular octagon is circumscribing a circle, the angle subtended by each side of the regular octagon at the center of the circle is :

1. 60°

2. 30°

3. 45°

4. (2 × 8 - 4) × 90°

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 inscribed in a circle, the radius of the circle and the length of a side of the hexagon are :

1. equal

2. not equal

3. equal, if hexagon is regular

4. not equal, if hexagon is regular.