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Verified Answer :

If the two chords are congruent, then they must be equidistant from the centre of the circle. 

Ans: D

A is rejected because the chord might not pass through the centre of the circle.
B is rejected because the chords are not obligated to be parallel.
C is rejected because it is not compulsory for the chords to be perpendicular. 

Example in file attached.

View image Hanihan

D be equidistant from the center of the circle