In gene regulation, particularly in prokaryotic operons (like the lac operon or trp operon):
- Promoter: A specific DNA sequence located upstream of a gene or operon where RNA polymerase binds to initiate transcription. It is a cis-acting regulatory site.
- Operator: A specific DNA sequence, usually located near or overlapping the promoter, where a repressor protein can bind. Binding of the repressor to the operator typically blocks RNA polymerase from transcribing the downstream genes, thus inhibiting gene expression. It is also a cis-acting regulatory site.
Let's analyze the options:
(a) "RNA polymerase binds to promotor and repressor binds to operator": Correct. This describes the standard roles.
(b) "Repressor binds to promotor and RNA polymerase binds to operator": Incorrect. Roles are swapped.
(c) "DNA polymerase binds to promotor...": Incorrect. DNA polymerase is involved in DNA replication, not transcription initiation at promoters.
(d) "DNA polymerase binds to promotor...": Incorrect, as in (c).
Therefore, RNA polymerase binds to the promoter, and a repressor protein (if present and active) binds to the operator.
\[ \boxed{\text{RNA polymerase binds to promotor and repressor binds to operator}} \]