Question

If the point $(a,a)$ are placed in between the lines $|x+y|=4$, then

• A. $\left|a\right|=2$
• B. $\left|a\right|=3$
• C. $\left|a\right|<2$
• D. $\left|a\right|<3$

Answer 1

Answer: (C)

$\left|a\right|<2$

Lines $x+y=4$ and $x+y=-4$ are parallel and points $(2,2)$ and $(-2,-2)$ lie on these lines.
If point $(a,a)$ lies between the lines then $a>-2$ and $a<2$ i.e.,
$-2<a<2\Rightarrow \left|a\right|<2$