I am using a non inverting amplifier (shown below). For the opamp, I am using TL084, and I am using 12V single supply. I am getting an output of 11.20Vdc even though the input is 1.06V sine wave. I don't know what the issue is; any help.
What is the input DC offset? The TL084 requires the signal to be V- +4 to V+ -4. So in your case, between 4 and 8 volts with a 12V supply. If your signal isn’t in that range the TL084 won’t follow it.
If you need JFET input with close-to-the rails capability and want single supply, the AD822 or similar would be better. Datasheet: https://www.analog.com/media/en/technical-documentation/data-sheets/AD822.pdf
If you’re looking for general, not-fussy amplification for single supply, the LM324 or its later improved cousins could work.