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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