Mathematics · 2025
JEE Main · 2 April 2025, Shift 1 · Q12
Let A be the set of all functions f: Z → Z and R be a relation on A such that R ={( f, g ): f(0)= g (1) and f(1)= g (0)}. Then R is:
Let A be the set of all functions $\displaystyle f: \mathbf{Z} \rightarrow \mathbf{Z}$ and R be a relation on A such that $\displaystyle \mathrm{R}=\{(\mathrm{f}, \mathrm{g}): f(0)=\mathrm{g}(1)$ and $\displaystyle f(1)=\mathrm{g}(0)\}$. Then R is :
Official answer
From NTA’s final answer key for this paper.
(2)
Symmetric but neither reflective nor transitive
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.