Where is .bashrc file found in Linux?

The only ones that bash looks at by default are in the user's home directory, yes. There is also typically a single source for them in Linux -- /etc/skel. The user's home directory does not need to be under /home, though.

I see you've edited your question to ask where your .bash_login and .bash_profile files are. Based on the # prompt, I'm going to assume you're running this as root. In that case, your files are

/root/.bash_history
/root/.bashrc

See my original answer above regarding a user's home directory -- it's not always /home; in this case, root's home directory is /root.


According to man bash:

When bash is invoked as an interactive login shell, or as a non-interactive shell with the --login option, it first reads and executes commands from the file /etc/profile, if that file exists. After reading that file, it looks for ~/.bash_profile, ~/.bash_login, and ~/.profile, in that order, and reads and executes commands from the first one that exists and is readable.

~/.bash_profile
    The personal initialization file, executed for login shells

~/.bashrc
    The individual per-interactive-shell startup file

There is also /etc/bashrc (/etc/bash.bashrc in Debian-based Linux) which contains System wide functions and aliases. By default, this is set, even for non-interactive, non-login shells.

EDIT:

The tilde in the paths indicates the home directory of the currently logged in user. Bash is only able to use one of ~/.bash_profile, ~/.bash_login, or ~/.profile (per currently logged in user), in that order, for reading and executing commands. (Debian-based operating systems typically do not have ~/.bash_profile or ~/.bash_login. They use the file ~/.profile. This file explains that it will be read and used unless ~/.bash_profile or ~/.bash_login are created.

#~/.profile: executed by the command interpreter for login shells.

#This file is not read by bash(1), if ~/.bash_profile or ~/.bash_login exists.


Your bashrc file's location is distro-dependent... Here is a basic list for the system bashrc:
/etc/bashrc (Redhat, Fedora, etc)
/etc/bash.bashrc (Debian, Ubuntu, Linux Mint, Backtrack, Kali etc)
/etc/bash.bashrc.local (Suse, OpenSuse, etc)
Then there is the private single-user bashrc, which, for the most part is stored in ~/.bashrc for basically every distro... If you do not have one of the distros listed, or have a special system, you can always look up bashrc location on google for that distro or system...
Regards,
Interesting...