I an new to recording world. I jut want to know is does mixers support 1/4inch mics for recording. Or XLR mics with XLR to 1/4inch converter cable?
Most professional consoles have 1/4" inputs as well as XLR inputs.
However, these are line inputs, not mic inputs. What this means: there is no dedicated preamplifier, the signal is directly fed to the EQ stage (or AD / ... whatever comes first in the given console model). And those stages expect a reasonably strong signal. If it's too weak you can still use the mixer, but the SNR will be less than satisfying.
Add to this that mics with 1/4" plug usually have horrible quality to begin with, and it's clear that you aren't going to achieve anywhere decent results this way. For loud, mid-heavy sources like brass or a guitar amp it's ok perhaps, but for anything else do get some proper condenser mics with XLR plug1 if you're serious about recording. There are really affordable, yet well-sounding models available nowadays.
1Or USB: if you only need to record one channel at a time you can skip the mixer entirely and record straight into a laptop / tablet etc..