The point of concurrence of perpendicular bisectros of the sides of a triangle is called _________

Consider the following statements : 1. The point of intersection of the perpendicular bisectors of the sides of a triangle may lie outside the triangle. 2. The point of intersection of the perpendiculars drawn from the vertices to the opposite sides of a triangle may lie on two sides. Which of the above statements is/are correct ?

The point of concurrence of the altitudes of a triangle is called

Show that the perpendicular bisectors of the sides of a triangle are concurrent.

The point of concurrency of the internal angular bisects of a triangle is

The number of triangles that can be formed by the perpendiculars bisectors of the sides of a triangle is

The vertices of a triangle are (4,-3) , (-2,1) and (2,3) . Find the co-ordinates of the circumcentre of the triangle. [Circumcentre is the point of concurrence of the right-bisectors of the sides of a triangle]

The equation of the perpendicular bisector of the side AB of a triangle ABC is x-y+5=0 . If the point A is (1,2) , find the co-ordinates of the point B .