The correct answer is: B. takes after.
To “take after” someone means to resemble them in appearance, character, or behavior. In this case, it is clear that Ammu resembles her mother in both appearance and behavior. She has the same dark hair and eyes, and she is also very kind and caring.
The other options are not as accurate. To “take in” means to accept or absorb something. To “take to” means to start doing something regularly or to become interested in something. To “take up” means to start doing something or to begin a new activity.
In this case, it is not clear that Ammu has accepted or absorbed her mother’s appearance or behavior. It is also not clear that she has started doing something regularly or that she has become interested in something. Therefore, the best answer is “takes after”.