Ok, so I found a solution to my problem. As I mentioned that I have installed both, Chromium as well as Chrome, I checked the chrome://flash page.
It mentioned Nvidia as Driver vendor, GL_VENDOR, GL_RENDERER for Chromium.
And for Chrome it mentions:
Driver vendor Mesa
Driver version 11.2.2
GL_VENDOR Intel Open Source Technology Center
GL_RENDERER Mesa DRI Intel(R) Haswell Mobile
GL_VERSION 3.3 (Core Profile) Mesa 11.2.2
I had installed Chromium when I had Nvidia Graphics Driver. But then I removed it as it caused issues. So, the Chromium was unable to locate it.
I simply uninstalled Chromium using the following commands and reinstalled it. Things are working perfectly now.
sudo apt remove chromium-browser
rm -rf ~/.cache/chromium
rm -rf ~/.config/chromium
sudo rm -rf /etc/chromium-browser
The chrome://gpu/ page shows the following output.