jee-main 2020 Q59

jee-main · India · session2_02sep_shift1 Composite & Inverse Functions Find or Apply an Inverse Function Formula
If $R = \{(x, y) : x, y \in Z, x^{2} + 3y^{2} \leq 8\}$ is a relation on the set of integers $Z$, then the domain of $R^{-1}$ is
(1) $\{-2, -1, 1, 2\}$
(2) $\{0, 1\}$
(3) $\{-2, -1, 0, 1, 2\}$
(4) $\{-1, 0, 1\}$
If $R = \{(x, y) : x, y \in Z, x^{2} + 3y^{2} \leq 8\}$ is a relation on the set of integers $Z$, then the domain of $R^{-1}$ is\\
(1) $\{-2, -1, 1, 2\}$\\
(2) $\{0, 1\}$\\
(3) $\{-2, -1, 0, 1, 2\}$\\
(4) $\{-1, 0, 1\}$