Recently, I came across a fill-in-the-blank.
It's no use ______ (worry) about it.
The right answer as told by my teacher is "worrying", why is "to worry" not right?
Recently, I came across a fill-in-the-blank.
It's no use ______ (worry) about it.
The right answer as told by my teacher is "worrying", why is "to worry" not right?
It's no use is always followed by a gerund.
http://dictionary.cambridge.org/dictionary/english/it-s-no-use-doing-something
There's no rule. You need to learn each expression by itself.
You can Google expressions that are followed by gerunds.
I think your teacher is confused probably with "there is no use -ING" construction such as
There is no use doing something.
"It is no use worrying about it" is (far) more broadly used than "It is no use to worry about it". However, it doesn't necessarily mean you can never use the latter.
The it is an expletive (See No. 2 definition) pronoun used as a dummy subject and both to infinitive or gerund could be used in the sentence.
Your teacher's confusion could have been caused by the very popular idiom "It's no use crying over spilled (spilt) milk".
Sometimes, it is difficult to explain when we should use gerund in place of to infinitive as their functions overlap in many cases. It is even more difficult to explain why using either of them is wrong or sounds unidiomatic.
As far as I understand, when an expletive pronoun it is used, it is okay to use both of them. But in the case of "it is no use" construction, gerund is much preferred. When "there" is used as a dummy subject, a gerund should be used.
A side note: Can you show this answer to your teacher and get his/her feedback and let me know it in a comment?