UPSEE 2017 Solved Paper

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

−5

3

and

5

3

i.e.

−5

3

<α<

5

3

∴|α|<

5

3