Question

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

Options

• P is incentre of △ABC.

• P is circumcentre of △ABC.

• PB bisects angle B.

• none of these

Answer 1

none of these

Explanation:

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.

The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of triangle intersect.

Since,

In the given figure, P is intersection of an angle bisector and perpendicular bisector of a side.