Step 1: Understand ring flipping in cyclohexane.
In chair conformation, ring flipping converts axial bonds into equatorial bonds and vice versaHowever, the relative positions (cis/trans) remain unchanged
Step 2: Condition for enantiomer formation.
A molecule forms its enantiomer upon ring flipping only if the flipped structure becomes a non-superimposable mirror imagei.e., chirality is generated
Step 3: Analyze each option.
cis-1,2-dimethylcyclohexane
On ring flipping, axial and equatorial positions interchange leading to a mirror image configurationThus, it forms its enantiomer
cis-1,3-dimethylcyclohexane
This has symmetry and remains identical after flipping
cis-1,4-dimethylcyclohexane
Possesses plane of symmetry, so no enantiomer is formed
trans-1,2-dimethylcyclohexane
Does not produce a mirror image on flipping
Step 4: Conclusion.
\[
\boxed{\text{cis-1,2-dimethylcyclohexane}}
\]