Ophelia tells Polonius that Hamlet came to her when she was sewing with his shirt undone and his stockings to the ground with no hat (ll,i,ll 88-94) acting insane like he had just got back from hell. Ophelia describes that his knees were knocking as he grabbed her by the wrist and just stared at her. Polonius and Ophelia believe that the reason for Hamlets behavior is because Ophelia rejected him
The significance of the meeting between the royal couple and Rosencrantz and Guildenstern is to get them to spy on Hamlet, They are worried about Hamlets strange behavior after his father’s death. And believe that since Hamlet has known Rosencrantz and Guildenstern for a long time they will be able to find out what is wrong with him.
This meeting is also significant because it shows that Polonius is not the only parent going behind their child’s back by getting someone to spy on them. This shows that Claudius is just like Polonius when it comes to parenthood and that there is lack of trust in both families