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

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