Step 1: Analyze the options.
- (A) Incorrect: The marker gene for plant selection is typically within the T-DNA region.
- (B) Incorrect: The marker gene for bacterial transformants is usually located outside the T-DNA region, on the plasmid itself.
- (C) Correct: Two T-DNA border sequences (left and right) are essential for T-DNA insertion into the plant genome in the binary vector system.
- (D) Incorrect: The vir genes and T-DNA border sequences are typically located on separate plasmids in the binary vector system.
Step 2: Conclusion.
The correct statement is that two T-DNA border sequences are essential for binary vector design.
Final Answer:
\[
\boxed{\text{Two T-DNA border sequences (left and right) are essential to design a binary vector system.}}
\]