If R = {(x, y) : 2 2 xy x y , , 3 8} Î +£ Z is a relation on the set of integers Z, then the domain of R –1 is :

Question:

If $R=\left\{(x, y): x, y \in \mathbf{Z}, x^{2}+3 y^{2} \leq 8\right\}$ is a relation on the set of integers $\mathbf{Z}$, then the domain of $R^{-1}$ is :

  1. $\{-2,-1,1,2\}$

  2. $\{0,1\}$

  3. $\{-2,-1,0,1,2\}$

  4. $\{-1,0,1\}$


Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Sets, Relations and Functions chapter.
JEE Main Previous Year Sep. 02, 2020 (I)

Solution:

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