CBSE · Class 11 · Mathematics · SetsIf $A = \{a, b, c, d\}$ and $B = \{b, c, d, e\}$, what is $A \cap B$?
Step-by-Step Solution
The intersection of two sets $A$ and $B$ is the set of all elements which belong to both $A$ and $B$. The common elements in $A$ and $B$ are $b$, $c$, and $d$. Thus, $A \cap B = {b, c, d}$.
Detailed Options Breakdown
Option : \{a, b, c, d, e\}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sets.
Option 1: \{a, e\}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sets.
Option 2: \{b, c, d\} (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: \{a, b, c, d\}
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.