Q. The bisectors of the opposite angles A and C of a 
cyclic quadrilateral ABCD intersect the circle at the points E and F respectively. Prove that EF is a diameter of the circle. 
Q. The diagonals of a cyclic quadrilateral are at right angles. Prove that the perpendicular from the point of their intersection on any side when produced backward bisects the opposite side. 
Q.. Prove that the perpendicular bisectors of the sides of a cyclic quadrilateral are concurrent. 
Q. In the given figure. A B, C and D. E. F are two sets of collinear points. Prove that: AD||CF.

Dear student
Since you have not mentioned the question number so doing as per my understanding.
Kindly refer the same  link for your query( Q.111)
https://www.meritnation.com/ask-answer/question/two-circle-intersect-at-points-b-and-e-a-b-c-and-d-e/circles/4237596
For remaining queries we request you to post them in separate threads to have rapid assistance from our experts.
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