Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

The total number of integral points i.e. points having Integral coordinates lying in the region represented by the inequations $|x-y|<3$ and $|x+y|<3$ is ______.

Correct Answer:
13
Explanation:

It is evident from the Fig. that there are 13 points in the region enclosed by $|x-y|<3$ and $|x + y| <3$.

The coordinates of the points are A(0, 0), B(1, 0), C(-1, 0), D(2, 0), E(2, 0), F(0, 2), G(0, 1), H(0, -1), I(0,-2), J(1, 1), M(-1, 1), L(-1,-1) and K(1, -1).