If R = x , y : x , y ∈ Z , x 2 + 3 y 2 ≤ 8 is a relation on the set of integers Z , then the domain of R - 1 is

Given x 2 8 + y 2 8 3 ≤ 1 ; x , y ∈ Z Domain of R - 1 = Range of R is possible integral y - coordinates = - 1 , 0 , 1

Mathematics - Sets and Relations Question with Solution | TestHub

MathematicsSets and RelationsQuestions on Symmetric Transitive and Reflexive PropertiesMedium2 minPYQ_2020

MathematicsMediumsingle choice

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

Answer:

Solution:

Given $\frac{x^{2}}{8} + \frac{y^{2}}{\frac{8}{3}} \leq 1; x, y \in Z$

Domain of $R^{- 1} =$ Range of $R$ is possible integral $y -$ coordinates

$= \{- 1, 0, 1\}$

Stream:JEESubject:MathematicsTopic:Sets and RelationsSubtopic:Questions on Symmetric Transitive and Reflexive Properties

⏱ 2mℹ️ Source: PYQ_2020

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