Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The area of the rhombus enclosed by the lines ax ± by ± c = 0 is
Text Solution
Verified by ExpertsThe correct answer is:
A
The four sides of the rhombus are
ax + by + c = 0, ax + by –c = 0, ax –by + c = 0, ax – by – c = 0 .
On solving these equations, we get the vertices as A (c/a, 0),
B (0, c/b), C(-c/a, 0) and D(0, -c/b).
The length of the diagonal AC is 2c/a and that of the diagonal BD is 2c/b.
Theref ore the area of the rhombus is
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