I know the usage of

> 
> **This is** a new car.
> 
> 
> 

*This* is singular.

> 
> **These are** some books for you.
> 
> 
> 

*These* is plural.

Shall we use

1. There exists some people who agree with me.
2. There exist some people who agree with me.

Which one is the correct usage and why?