Step 1: Understanding Company painting style
- The Company painting style refers to the type of painting that developed in India during the British colonial period, particularly during the 18th and 19th centuries. This style incorporated European realism and naturalism while also retaining Indian subject matter and traditional techniques.
Step 2: Analyzing the options
- (A) Agra: Agra was an important center of Mughal art, but it was not the primary center for Company painting.
- (B) Lucknow: Correct. Lucknow became a significant center for the Company style of painting, especially under the patronage of the Nawabs of Lucknow. This style was characterized by the depiction of local culture, portraits, and natural subjects.
- (C) Patna: Patna was also a prominent center for art, but it is more famous for its Patna School of Painting rather than the Company style.
- (D) None of these: This option is incorrect, as the correct answer is (B).
Step 3: Conclusion
Thus, the correct answer is (B) Lucknow, as it was the primary center for the Company style of painting.
\[
\boxed{\text{Correct Answer: (B) Lucknow}}
\]