Which of the following statements are correct select all that apply

The Correct statements are

B.⇒The circumcenter of triangle is the point where perpendicular bisector of sides meet.

Because three sides of triangle acts as a chord of the circle,and perpendicular bisector of chords intersects at the center of the circle.

C:⇒ Give any three non collinear points , there exist only one circle that passes through all the three points.

Join these points you will get two line segment .Draw perpendicular bisector of these segments.The point where these perpendicular bisectors meet is center of the circle.

E:⇒ The incenter of triangle is the point where internal bisector of angles meet.

Internal bisector of angle divide angle into two equal parts.The three line segements which is bisector of three angles meet at a point called Incenter of triangle.  

2+5-(3-3)

2+5-0

7-0

7

hope this helps