CGPET 2019 Solved Paper

Assuming, |x|+|y|=1
The straight lines are
x+y=1,x−y=1,−x−y=1,−x+y=1
Which form a square withe each side
=√(1−0)2+(0−1)2
=√1+1=√2
Or form four equal right isosceles triangle with each equal side 1 unit.
So, each triangle's area =

1

2

.1.1=

1

2

sq. unit
Therefore, required area =

1

2

×4=2sq. unit.