Question

If the point (a, a) are placed in between the lines

$|x + y| = 4$, then.

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

Answer 1

Answer: (C)

| a| < 2

Answer 2

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 ⇒ $| a | < 2$.