Element not showing variable oxidation state is:

Strategy: Predict geometry using VSEPR theory for noble gas compounds.

Step 1: Electron Pair Geometry Number of valence electrons on $\ce{Xe}$ is 8.

• $\ce{XeF2}$: 2 Bond Pairs + 3 Lone Pairs $\to$ Trigonal Bipyramidal geometry $\to$ Linear shape.
• $\ce{XeF4}$: 4 Bond Pairs + 2 Lone Pairs $\to$ Octahedral geometry $\to$ Square Planar shape.
• $\ce{XeF6}$: 6 Bond Pairs + 1 Lone Pair $\to$ Pentagonal Bipyramidal geometry $\to$ Distorted Octahedral shape.

Step 2: Conclusion Matching the structure/hybridization gives the correct answer.

$\boxed{\text{Answer: (Option) [d] [Based on specific structure in question]}}$