Step 1: Understand what each String method returns.
In Java, different \texttt{String} methods return different types of values. Some methods return a number, some return a character, and some return a boolean value. To answer this question, we need to identify which method can return a
negative integer value.
Step 2: Analyze each method one by one.
- (A) \texttt{length():} This method returns the number of characters in a string. Since the length of a string can never be negative, it does not return a negative value.
- (B) \texttt{equals():} This method compares two strings and returns either \texttt{true} or \texttt{false}. It does not return any numeric value.
- (C) \texttt{compareTo():} This method compares two strings lexicographically. It can return:
- a negative value if the first string comes before the second string,
- zero if both strings are equal,
- a positive value if the first string comes after the second string.
So, this method can definitely return a negative value.
- (D) \texttt{charAt():} This method returns the character present at a specified index in the string. It returns a character, not a negative number.
Step 3: Focus on \texttt{compareTo()}.
Suppose we compare:
\[
\texttt{"Apple".compareTo("Banana")}
\]
Since \texttt{"Apple"} comes before \texttt{"Banana"} in dictionary order, the result will be a negative value.
This shows clearly that \texttt{compareTo()} is the method that can return a negative value.
Step 4: Conclusion.
Therefore, among all the given String methods, the one that returns a negative value is \texttt{compareTo()}.
Final Answer:compareTo().