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What are two conformations of cis-1,4-dimethyl cyclohexane?

Answer
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Hint : Just two stereoisomers, cis- and trans- 1,4-dimethyl cyclohexane, have an internal symmetry plane. As a result, both are meso compounds (optically inactive). Only cis-1,3-dimethyl cyclohexane, unlike 1,4-dimethyl cyclohexane, has an internal symmetry plane, whereas trans-1,3-dimethyl cyclohexane does not.

Complete Step By Step Answer:
Cis-1,4-dimethyl cyclohexane has one chair conformation and two boat conformations. The chair conformation of cyclohexane is more stable than the boat conformation since the CH bonds are similarly axial and equatorial in the chair conformation, i.e., six of the twelve CHbonds are axial and six are equatorial, and each carbon has one axial and one equatorial CHbond.
The chain structure of cis-1,4-dimethyl cyclohexane
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There are two flipped boat conformations . Although both are different but the right one is more stable.
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Similarly there are two flipped cyclohexane chairs. These two conformations are identical.
     
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Note :
This compound can be used in various real life applications. The absorption of ultrasonic waves that can be calculated using a reverberation method has been studied using cis-1,4-dimethylcyclohexane.
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