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 $ .