Step 1: Understanding the Concept:
Genes located on the same physical chromosome are syntenic and tend to be inherited together as a linkage group.
Step 2: Detailed Explanation:
1. Statement I is TRUE: Linked genes are located syntenically along the linear DNA axis of the same physical chromosome.
2. Statement II is TRUE: Linked genes that are situated close to each other ($< 50\,\text{cM}$) undergo crossing-over with a frequency of less than $50\%$, producing more parental than recombinant gametes, and thus violate Mendel's Law of Independent Assortment unless separated by a map distance $\ge 50\,\text{cM}$.
Step 3: Final Answer:
Hence, both Statement I and Statement II are true.