The figure formed by the lines ax ± by ± c = 0 is
The given lines can be written separately in the following manner:
ax + by + c = 0 … (1)
ax + by − c = 0 … (2)
ax − by − c = 0 … (3)
ax − by − c = 0 … (4)
Graph of the given lines is given below:
Diagram:
Clearly, AB = BC = CD = DA
Thus, the region formed by the given lines is ABCD, which is a rhombus