Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

If $R=\{(x,y)x,y∈z,x^2+y^2≤4\}$ is a relation in Z, then domain of R is:

Options:

{0, 1, 2}

{0, -1, -2}

{-2, -1, 0, 1, 2}

None of these

Correct Answer:

{-2, -1, 0, 1, 2}

Explanation:

$∵R=\{(x,y)x,y∈z,x^2+y^2≤4\}$ 

$∴R=\{(-2,0),(-1,0),(-1,1),(0,-1),(0,1),(0,2),(0,-2),(1,0),(1,1),(2,0)\}$

Hence, domain of {-2, -1, 0, 1, 2}