Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

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

Options:

{0, 1, 2}

{0, -1, -2}

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

{-1, 0, 2}

Correct Answer:

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

Explanation:

The correct answer is Option (3) → $\{-2, -1, 0, 1, 2\}$

$x^2+y^2≤4$

Representing on graph

all crosses are points ∈ R

all points are unit distanced

$⇒ x∈\{-2,-1,0,1,2\}$

so $|x|≤|\sqrt{4-y^2}|$