IPMAT Indore 2023 (SA) PYQs

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

The minimum value of $f(x)=|3-x|+|2+x|+|5-x|$ is equal to __________.

The sum of the squares of all the roots of the equation $x^{2}+|x+4|+|x-4|-35=0$ is