Eunhyuk is dating
They are considered to have the same effect as conjunctions.Contraparallels are when one star in the north and another in the south are at the same declination.
As for the explanation by LOEN Entertainment, it was vague and not as detailed which shows that they were not trying to hide something as well as dismissing anything.
All of this speculation started with IU posting the said photo of her and Eunhyuk on Twitter accidentally as it was took down by her 2 minutes later.
Here is the article of IU and Super Junior's Eunhyuk. As hours goes by, in this same article, the Netizens (mostly International fans) that follows commented various opinions ranging from the picture must be photoshopped to making rude remarks about IU.
So I went and looked for an article about it and since it was K-Pop related, I went to a well known news site about the genre,
And there it was at the first page, an article with a title "IU and Super Junior's Eunhyuk, dating? It was freshly written (56 mins ago) when I look it up and in that article had a picture of IU in her pajamas with Eunhyuk who appears to have not his shirt on and apparently looked tired.