Q. 205.0( 1 Vote )
The figure formed by the lines ax ± by ± c = 0 is
A. a rectangle
B. a square
C. a rhombus
D. none of these
Answer :
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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