Arcs

Please give me full solution of this question with image also:
If X and Y are the middle points of arcs AB and CD of circle and sigment joining by X and Y cuts the AB and CD at point P and Q then prove that AP=AQ

Hello, soni!

There must be a typo . . . The problem makes no sense.

Quote:

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are midpoints of arcs of a circle
and segment cuts chords at , resp.

Prove: . . ??

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Code:

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                  C
          A  * * o
          o      |  *
        * |      |    *
      *  |      |      *
          |      |
      *  |P      |Q      *
    X o - + - - - + - - - o Y
      *  |      |      *
          |      |
      *  |      |      *
        * |      |    *
          o      |  *
          B  * * o
                  D

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Draw segment

We can see that is never equal to