Coordinate Geometry Question 151

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

[AMU 2005]

Options:

A) | a| = 2

B) $ |a|=3 $

C) | a| < 2

D) | a| < 3

Show Answer

Answer:

Correct Answer: C

Solution:

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

therefore $ |a|\ <2 $ .