# CAT 2020 Quant Question [Slot 1] with Solution 11

Question

The area of the region satisfying the inequalities $|x| - y \le 1,y \ge 0$ and $y \le 1$ is

Option: 3
Solution:

The graph of $|x| - y \le 1;y \ge 0$ and $y \le 1$ is as follows:

Area of $ABCD =$ Area of EFCD - Area of EAD - Area of BFC

$= EF \times FC - \frac{1}{2} \times EA \times ED - \frac{1}{2} \times BF \times FC$

$= 4 \times 1 - \frac{1}{2} \times 1 \times 1 - \frac{1}{2} \times 1 \times 1$

$= 4 - 1 = 3$ Square units.

CAT 2021 Online Course @ INR 8999 only