Let . The relation is considered as a subset of . Which of the following ordered…

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let R={(x,y):x∈Z,  −3≤x≤3,  y=x2}R=\{(x,y): x\in \mathbb{Z},\; -3\le x\le 3,\; y=x^2\}. The relation is considered as a subset of Z×Z\mathbb{Z}\times \mathbb{Z}. Which of the following ordered pairs (Domain, Range) is correct? (a) ({0,1,2,3},{0,1,4,9})(\{0,1,2,3\},\{0,1,4,9\}) (b) ({−3,−2,−1,0,1,2,3},{−3,−2,−1,0,1,2,3})(\{-3,-2,-1,0,1,2,3\},\{-3,-2,-1,0,1,2,3\}) (c) ({−3,−2,−1,0,1,2,3},{0,1,4,9})(\{-3,-2,-1,0,1,2,3\},\{0,1,4,9\}) (d) ({−3,−2,−1,0,1,2,3},{−9,−4,−1,0,1,4,9})(\{-3,-2,-1,0,1,2,3\},\{-9,-4,-1,0,1,4,9\})

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