Among the following reactions, the incomplete combustion of methane is:

1. \(2 \mathrm{CH}_4+\mathrm{O}_2 \xrightarrow[]{\mathrm{Cu/523 \ K/100 \ atm}} 2 \mathrm{CH}_3 \mathrm{OH}\)
2. \(\mathrm{CH}_4+\mathrm{O}_2 \xrightarrow[]{\mathrm{Mo_{2}O_{3}}} \mathrm{HCHO}+\mathrm{H}_2 \mathrm{O}\)
3. \(CH_4 + O_2 → C + 2H_2O\)
4. \(CH_4 + 2O_2 → CO_2 + 2H_2O\)
HINT: Incomplete combustion forms carbon black.

Explanation:
During incomplete combustion of alkanes with an insufficient amount of air or dioxygen, carbon black is formed, which is used in the manufacturing of ink, printer ink, and black pigments and as filters.

Thus, the incomplete combustion of methane can result in a slew of partially oxidized products, including CO, but also methanol, formic acid, formaldehyde, and higher hydrocarbons also. 

However, the oxidation of methane to soot is generally given as the following:

 
\(CH_4 + O_2 → C + 2H_2O\) (Incomplete combustion)