NCERT · Class 11 · Mathematics · SetsIf $A \subset B$, then what is $A \cap B$?
Step-by-Step Solution
If $A$ is a subset of $B$, every element of $A$ is also an element of $B$. Therefore, the intersection of $A$ and $B$ (the common elements) will simply be all the elements of $A$. Hence, $A \cap B = A$.
Detailed Options Breakdown
Option : $B$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sets.
Option 1: $A$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $\emptyset$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sets.
Option 3: $A \cup B$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sets.
💡 Study Guide: This question tests core syllabus concepts from Sets. For formulas, key summaries, and mock exam reference guides, read the full Sets Revision Notes.