Given lines are |2x+y|=5 i.e. 2x+y=5 ......(i) or 2x+y=−5 ......(ii) Point (α,α) lie on the line y=x ....... (iii) ∵ Line y=x intersect the line Eqs. (i) and (ii) at points (
5
3
,
5
3
) and (
−5
3
,
−5
3
) [Here, we find point of intersects by solving line Eqs. (i), (iii) and lines Eqs. (ii) and (iii)] ∴α lie in between