If bisectors of opposite angles of a cyclic quadrilateral ABCD intersect the circle, circumscribing it at the points P and Q, prove that PQ is a diameter of the circle.

If bisectors of opposiste angles of a cyclic quadrilateral ABCD intersect the circle, circumscribing it at the points P and Q, prove that PQ is a diameter of the circle.

If the bisectors of the opposite angles /_Aa n d/_B of a cyclic quadrilateral A B C D intersect the corresponding cicle at P an d Q respectively, then P Q is a diameter of the circle.

The internal and external bisectors of the vertical angle of a triangle intersect the circumcircle of the triangle at the points P and Q. Prove that PQ is a diameter of the circle.

If the bisectors of the opposite angles /_P and /_R of a cyclic quadrilateral PQRS intersect the corresponding cicle at A and B respectively,then AB is a diameter of the circle.

If the bisectors of the opposite angle /_P and /_Rof a Cyclic quadrilateral PQRS intersect the cooresponding circle at A and B respectively; then AB is a diameter of the circle.

In a cyclic quadrilateral ABCD, the bisectors of opposite angles A and C meet the circle at Pand Q respectively. Prove that PQ is a diameter of the circle.

ABCD is a cyclic quadrilateral. The bisectors of angleDAB and angleBCD intersect the circle at the points X and Y respectively. Prove that XY is a diameter of the circle.

ABCD is a cyclic quarilateral. The bisectors of angleaandangleC in tersect the circle at the points E and F respectively . Prove that EF is a diameter of the circle.

If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle

If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral,prove that it is a rectangle