MP Board · Class 11 · Mathematics · Relations and FunctionsLet $R$ be the relation on $\mathbb{N}$ defined by $R = \{(x, y) : y = x + 5, x
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Total Attempts: 2
Accuracy Rate: 50%
Step-by-Step Solution
The condition given is $x < 4$ and $x \in \mathbb{N}$. Therefore, the possible values for $x$ are $1, 2,$ and $3$. The domain of a relation is the set of all first elements of the ordered pairs, which is ${1, 2, 3}$. Hence, option A is correct.
Detailed Options Breakdown
Option : {1, 2, 3} (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: {1, 2, 3, 4}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Relations and Functions.
Option 2: {6, 7, 8}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Relations and Functions.
Option 3: {1, 2, 3, 4, 5, 6, 7, 8}
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.