If A = `{x in R : 0 lt x lt 1}` and `B = {y in R : -1 lt y lt 1}`, then `A xx B` is the set of all points lying

Options

A. inside the rectangle having vertices at (1, 1), (0, 1), (0, -1) and (1, -1)
B. inside the rectangle having vertices at (1, 0), (1, 1), (0, 1) and (0, 0)
C. on the sides of the rectangle whose vertices are at (1, 1), (0, 1), (0, -1) and (1, -1)
D. inside or on the sides of the rectangle whose vertices are at (1, 1), (0, 1), (0, -1) and (1, -1)

Answer

A

Explanation

Clearly, A represents the line segment between (0, 0) and (1, 0) and B represents the line segment between (0, -1) and (0, 1). So, `A xx B` represents the region in xy-plane lying inside the rectangle having vertices at (1, 1), (0, 1), (0, -1) and (1, -1).