what does it mean by social responsibilities towards investors or shareholders?

Answer 1

It means to act in an ethical and honest manner in business dealings.

That was a big problem with Enron...and the reason why many lost their entire savings.

Answer 2

well I mean it would be better if you could post the context in order for me to give you an actually usuable answer.

Usually the number one priority and responsibilty is to increase shareholder's wealth, however there are always social or ethical responsibilties that a company has towards their stakeholders, in your case investors and shareholders.

Being a good corporate citizen could be a social responsibility