IPMAT Indore 2022 (MCQ) PYQs

The number of pairs $(x, y)$ of integers satisfying the inequality $|x - 5| + |y - 5| \leq 6$ is:

The length of the line segment joining the two intersection points of the curves $y = 4970 - |x|$ and $y = x ^ 2$ is

The area enclosed by $2|x|+3|y| \leq 6$ is ____________ sq. units.