MP Board · Class 11 · Mathematics · Relations and FunctionsIf $A \times B = \{(a, x), (a, y), (b, x), (b, y)\}$, find $A$ and $B$.
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Total Attempts: 3
Accuracy Rate: 33.3%
Step-by-Step Solution
The set $A$ consists of all first elements of the ordered pairs in $A \times B$, so $A = {a, b}$. The set $B$ consists of all second elements of the ordered pairs in $A \times B$, so $B = {x, y}$. Therefore, option A is correct.
Detailed Options Breakdown
Option : A = {a, b}, B = {x, y} (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: A = {x, y}, B = {a, b}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Relations and Functions.
Option 2: A = {a, x}, B = {b, y}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Relations and Functions.
Option 3: A = {a, b, x, y}, B = {a, b}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Relations and Functions.
💡 Study Guide: This question tests core syllabus concepts from Relations and Functions. For formulas, key summaries, and mock exam reference guides, read the full Relations and Functions Revision Notes.