Solve this

Question:

Let $R=\left\{(x, y): x, y \in Z\right.$ and $\left.x^{2}+y^{2} \leq 4\right\}$.

(i) Write $\mathbf{R}$ in roster form.

(ii) Find dom (R) and range (R).

 

Solution:

Given: $R=\left\{(x, y): x, y \in Z\right.$ and $\left.x^{2}+y^{2} \leq 4\right\}$

(i) R is Foster Form is

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

(ii) $\operatorname{Dom}(R)=\{-2,-1,0,1,2\}$

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

 

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now