The area of the rhombus bounded by the four lines, ax ± by ± c = 0 is (a) c2/2ab (b) 2c2/ab (c) 4c2/ab (d) ab/4c2

 Solution:

The four lines will form a rhombus.

The coordinates of the vertices are (-c/a, 0), (c/a, 0), (0, c/b), (0, -c/b).

Let d1 and d2 be the diagonals of the rhombus.

d1 = 2c/a

d2 = 2c/b

Area of the rhombus = ½ d1d2

= 2c2/ab