1. Tardigrade
  2. Question
  3. Mathematics
  4. The set (x, y): x + y =1 in the xy plane represents

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The set $\{(x, y) : x + y =1\}$ in the $xy$ plane represents

KEAMKEAM 2017Application of Integrals

Solution:

We have,
$|x|+|y|=1=\begin{cases}x +y=1, & x, y \in \text { I quadrant } \\ -x+ y=1, & x, y \in \text { II quadrant } \\ -x -y=1, & x, y \in \text { III quadrant } \\ x-y=1, & x, y \in \text { IV quadrant }\end{cases}$
image
Clearly, $A B C D$ is a square.