To answer this question, you need to understand the concept of platform independence in Java. Let's go through each option to understand why it is correct or incorrect:

Option A) Java programming is derived from C++ - This option is incorrect because the derivation of Java programming language from C++ does not guarantee platform independence. Java is actually derived from the C and C++ programming languages, but its platform independence is a result of the Java Virtual Machine (JVM) and other features, not its derivation from C++.

Option B) The Java Virtual Machine (JVM) interprets the program for the native operating system - This option is correct. The Java programming language uses the concept of a Java Virtual Machine (JVM), which interprets the Java code at runtime and converts it into machine code that can be executed by the native operating system. This allows Java programs to run on any platform that has a compatible JVM implementation.

Option C) The compiler is identical to a C++ compiler - This option is incorrect. While there may be similarities between Java and C++ compilers, the compiler itself being identical to a C++ compiler does not guarantee platform independence. The platform independence in Java comes from the JVM, not the compiler.

Option D) The APIs do all the work - This option is incorrect. While APIs (Application Programming Interfaces) are important in Java programming, they do not solely enable platform independence. The JVM plays a crucial role in executing Java programs on different platforms.

The correct answer is Option B. This option is correct because the Java Virtual Machine (JVM) interprets the program for the native operating system, allowing Java programs to run on any platform that has a compatible JVM implementation.

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