Angle Subtended by Equilateral Triangle at Centre and Circumference

Q. The point of intersection of angle bisectors of a triangle is called .

1. circumcentre
2. incentre
3. orthocentre
4. centroid

Q. 18. Prove that angle bisector of any angle of a triangle and the perpendicular bisector of the opposite side if intersect, they will intersect on the circumcircle of the triangle.

Q. In the given figure, O is the centre of the circle. Tap on the angle whose value will be $2x^{\circ }.$

1. 
2. 
3. 
4. 

Q.

The point of intersection of the perpendicular bisectors of the sides of a triangle is called

1. Centroid

2. Incentre

3. Circumcentre

4. Orthocentre

Q.

O is the point of intersection of angular bisectors of triangle ABC. The inradius of the triangle ABC is OA.

1. True

2. False

Q. The angle subtended by a major arc in the alternate segment is obtuse.

1. True
2. False

Q. The angle subtended by an arc at the centre of a circle is 3 times the angle subtended by it on the circumference.

1. False
2. True