Indian English literature did not begin only after India's independence.
It began much earlier during the colonial period.
Many Indian writers wrote in English before \(1947\).
For example, writers like Raja Rammohan Roy, Toru Dutt, Bankim Chandra Chatterjee, Sri Aurobindo, Mulk Raj Anand, R.K. Narayan, and Raja Rao were associated with Indian writing in English before independence.
So Assertion (A) is correct.
Now check Reason (R).
Reason (R) says that before \(1947\), there were no Indian writers in English.
This statement is clearly wrong because many Indian writers were writing in English before \(1947\).
Therefore, Assertion (A) is correct, but Reason (R) is not correct.
Hence, the correct answer is:
\[
\text{(A) is correct but (R) is not correct.}
\]