CAT (QA) PYQs

Let $f(x) = 2x – 5$ and $g(x) = 7 – 2x$. Then $|f(x) + g(x)| = |f(x)| + |g(x)|$ if and only if

The area of the closed region bounded by the equation $| x | + | y | = 2$ in the two-dimensional plane is

If r a constant such that $|x^2 - 4x - 13| = r$ has exactly three distinct real roots, then the value of r is