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Previous Year Question (PYQs)



For $a, b \in \mathbb{R}$ define $a = b$ to mean that $|x| = |y|$. If $[x]$ is an equivalence relation in $R$, then the equivalence relation for $[17]$ is...





Solution

Given relation $a = b \iff |a| = |b|$. Then equivalence class of $17$ is $[17] = \{x \in \mathbb{R} : |x| = |17|\} = \{-17, 17\}.$


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