How to avoid noise/stray voltage in a cable which going to carry both AC and DC current?
How can i eliminate this "capacitance noise" from my circuit and of course other wires in the cable?



Don't use the same cable. Aside from this leakage, there are also safety and legislation aspects involved.
Buy special cable where the signal lines are shielded.
Load the line. Load it enough that for the capacitance of the maximum specified length it is unable to generate a high enough voltage to cause a problem.  


Be aware that when you start running current trough the cable you are not only looking at capacitive coupling but also inductive coupling.