Do you know that famous novel ... by Miss Li?

[Sitifan]

Do you know that famous novel _____________ by Miss Li?
(A) written (B) was written
Some say (A) is correct. Do you know that famous novel (which was) written by Miss Li?
Others say (B) is correct. Do you know (that) that famous novel was written by Miss Li?
Which option do you think is correct?
_________________
Thank you very much for your reply.

[Jamie (K)]

Both options are perfectly correct, but they don't mean the same thing.

"Do you know that famous novel written by Miss Li?" says that Miss Li wrote a novel, and it asks you if you know the novel.

"Do you know that famous novel was written by Miss Li?" asks if you know that Miss Li wrote a famous novel.