CAT Geometry > Straight Lines PYQs

The $(x, y)$ coordinates of vertices P, Q and R of a parallelogram PQRS are $(-3, -2)$, $(1, -5)$ and $(9, 1)$, respectively. If the diagonal SQ intersects the $x$-axis at $(a, 0)$, then the value of $a$ is

The area of the region satisfying the inequalities $|\mathrm{x}|-\mathrm{y} \leq 1, \mathrm{y} \geq 0$ and $\mathrm{y} \leq 1$ is