If the point (a, a) are placed in between the lines |x + y| = 4, … - Vidyadip

MCQ

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

A
$| a| = 2$
B
$|a|\, = 3$
✓
$| a| < 2$
D
$| a| < 3$

✓

Answer

Correct option: C.

$| a| < 2$

c
(c) Lines $x + y = 4$ and $x + y = - 4$ are parallel and point $(2, 2)$ and $(-2, -2)$ are lies on these lines.

If point $(a, a)$ are lie in between the lines then $a > - 2$ and $a < 2$ i.e.$ -2 < a< 2$==> $|a|\; < 2$.

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