If the point (a,a) falls between the line |x+y|=4, then:
|a|=2
|a|=3
|a|<2
|a|<3
Explanation for the correct option:
Identify the valid condition
Given lines,x+y=4 and x+y=-4
Since (a,a) lies between these lines,
⇒(a+a–4)(a+a+4)<0
⇒(2a–4)(2a+4)<0
⇒(a–2)(a+2)<0
Thus, -2<a<2
So |a|<2
Hence, option (C) |a|<2, is the correct answer.