In this statement, Assertion A states that there was a general tendency among the Chola kings to change the names of all the places within their territory and rename them after the names of Chola kings. Reason R states that this was done to mark out the place by their names belonging to the Cholas.

After examining both statements, it can be concluded that Assertion A is false. There was no general tendency among Chola kings to change the names of all the places within their territory and rename them after the names of Chola kings. Therefore, Option 1, which suggests that both A and R are true and R is the correct explanation for A, is incorrect.

However, Reason R is true. It is accurate to say that one reason for renaming places after Chola kings was to mark them as belonging to the Cholas. Therefore, Option 4, which suggests that A is false but R is true, is the correct answer.

In summary, Assertion A is false, but Reason R is true. The Chola kings did not have a general tendency to rename all places after themselves, but renaming places after Chola kings was indeed done to mark them as belonging to the Cholas.