Which of the following is TRUE about the Pumping Lemma for regular language?

Correct option is A

The Pumping Lemma for regular languages is a property that all regular languages must satisfy. It provides a way to prove that certain languages are not regular by showing that they do not satisfy the conditions of the lemma.
According to the Pumping Lemma for regular languages, for any regular language, there exists a constant p (the pumping length) such that any string s in the language of length at least p can be split into three parts, s = xyz, where:
1. x is a prefix.
2. y is the part that can be repeated (pumped).
3. z is the suffix.
This pumping operation (repeating y any number of times) results in strings that are still within the language. The key idea is that y can be "pumped" (repeated) as many times as needed, and the resulting string will remain in the language.
Information Booster:
1. Pumping Lemma is a tool to prove whether a language is regular or not by checking if it can be "pumped".
2. If a language cannot satisfy the pumping lemma conditions, it is not regular.
3. The pumping lemma specifically applies to regular languages, which can be recognized by finite automata.
Additional Knowledge:
• It applies only to infinite regular languages: This is incorrect. The pumping lemma applies to all regular languages, not just infinite ones.
• It applies to all context-free languages: The pumping lemma for context-free languages is different from the one for regular languages.
• It applies to all recursively enumerable languages: The pumping lemma does not apply to all recursively enumerable languages; it is specifically a property of regular languages.