Question

Let P(x,y) be a moving point in the x-y plane such
that [x]-[y] =2, where [.) denotes the greatest inte-
ger function, then area of the region containing the
points P(x,y) is equal to :
(A) 1 sq. units (B) 2 sq. units
(C) 4 sq. units (D) None of these​

Answer 1

$|x| + |y| = 2 \\ hence \: area \: = 4 \times 1 \\ = 4sq.unit \\ hope \: its \: helps.......$