A, B and C are three points on a circle. Prove that the perpendicular bisectors of AB, BC and CA are concurrent.

Prove that the perpendicular bisectors of the sides of triangle are concurrent.

Prove that the perpendicular bisectors of the sides of a cyclic quadrilateral are concurrent.

Prove that the perpendicular bisectors of the sides of a cyclic quadrilateral are concurrent.

Prove analytically that the perpendicular bisector of the sides of a triangle ar concurrent.

Prove analytically : The perpendicular bisector of the sides of a triangle are concurrent.

In Figure,widehat AB~=widehat AC and O is the centre of the circle.Prove that OA is the perpendicular bisector of BC

From a point O inside a triangle ABC, perpendiculars OD, OE and OF are drawn to the sides BC, CA and AB, respectively. Prove that the perpendiculars from A, B and C to the sides EF, FD and DE are concurrent

From a point O inside a triangle ABC, perpendiculars OD, OE and OF are drawn to the sides BC, CA and AB, respectively. Prove that the perpendiculars from A, B and C to the sides EF, FD and DE are concurrent

From a point O inside a triangle ABC , perpendiculars OD,OE and Of are drawn to rthe sides BC,CA and AB, respecrtively. Prove that the perpendiculars from A,B, and C to the sides EF, FD and DE are concurrent.

Two triangles ABC and PQR are such that the perpendiculars from A to QR ,B to RP and C to PQ are concurrent .Show that the perpendicular from P to BC ,Q to CA and R to AB are also concurrent .