NDA Mathematics Question (2025) — Solution

Step-by-step solution

The given inequalities are |x| 2k and |y| k. This can be written as -2k x 2k and -k y k. These inequalities represent a rectangular region in the xy-plane. The length of the rectangle along the x-axis is 2k - (-2k) = 4k. The width of the rectangle along the y-axis is k - (-k) = 2k. The area of the rectangular region is given by length width. Area = 4k 2k = 8k^2. Answer: 8k^2