The correct option is A AC and PQ bisect each other.
In triangles AOP and COQ,
AP=CQ (Given)
∠1=∠2 (Alternate interior angles)
∠3=∠4 (Vertically opposite angles)∴AOP≅COQ (By AAS congruence criterion)
∴OA=OC and OP=OQ (CPCT)
Hence, AC and PQ bisect each other.