Question

If the point (a, a) lies between the lines |x + y| = 2 then

• A. |a| < 2
• B. | a | <$\sqrt{2}$
• C. | a | < 1
• D. $|a| < \frac{1}{\sqrt{2}}$

Answer 1

Answer: (C)

| a | < 1

Answer 2

|x + y| = 2 , x + y = ± 2

locus of (a, a)

x = a

y = a

x = y

– 1< x < 1

–1 < a < 1

|a| < 1