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If the point $(a, a)$ lies between the lines $|x+y|=2$, then which one of the following is correct?
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Verified Answer
The correct answer is:
$|\mathrm{a}| < 1$
$|\mathrm{x}+\mathrm{y}|=2 \Rightarrow \mathrm{x}+\mathrm{y}=\pm 2$
$\Rightarrow \quad x+y+2=0$ and $x+y-2=0$
$\Rightarrow-2 < 2 a < 0$ and $-1 < a < 0$
$\Rightarrow \quad|a| < 1$
$\Rightarrow \quad x+y+2=0$ and $x+y-2=0$
$\Rightarrow-2 < 2 a < 0$ and $-1 < a < 0$
$\Rightarrow \quad|a| < 1$
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