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

If $|x+1| + (y+2)^2 = 0$ and $ax - 3ay = 1$, then the value of $a$ is

If $a, b, c$ are three distinct natural numbers, all less than $100$, such that $|a - b| + |b - c| = |c - a|$, then the maximum possible value of $b$ is ______

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

The number of real solutions of the equation $x^2 - 10|x| - 56 = 0$ is

The area enclosed by the curve $2|x| + 3|y| = 6$ is

If $n$ is an integer such that $\frac{|n+6|-|n-3|}{\sqrt{100-n^3}} \geq 0$, then the number of possible values of $n$ is ___