What is the difference between Tex Live and TexMaker. Are they in the same category? What's the difference between these two?
When you use LaTeX, the documents are compiled to PDF with command-line tools such as
xelatex. These have to be invoked from the command line:
cmd.exe on Windows and usually
bash in Linux. LaTeX itself has no graphical user interface.
TeX Live is a comprehensive collection of these command line programs, with all the packages, configuration files, fonts etc. that they use. So you need to install TeX Live to write documents in LaTeX.
If you want to edit your documents with syntax coloration, and compile them to PDF with a single button, you need a LaTeX editor. Editors hide away the command line stuff between a graphical user interface. I think TeXLive includes the TeXWorks editor. TeXMaker is another editor that you can use.