Thank you again for your suggestion. To be specific the leds are powered by a separate led driver through the 10 transistors seen in the circuit which i have attached previously.
1) Since its a RGB led strip with common anode, by "Putting a resistor in parallel with the LED strip" and "Put a capacitor in parallel with the LED strip" did you mean connecting the positive terminal of the strip to any one of the R or G or B terminal or to the power ground??
2) since the DC adapter is having only 2 pins there is no earth pin from it to make it earthed
3)one thing which i couldn't figure out was that, why is the strip so sensitive to the things near it. the strip is even lighting up when I just approach my hand around it and not even touching it. would there be any interaction to worry about between the terminals +, R, G, B on the LED strips since they are very close to each other and to be on the safe side should I just insulate these pins with some hot glue??