Question

Area of the rhombus enclosed by the lines ax ± by ± c = 0 is –

• A. $\frac{1}{2}$absq unit
• B. $\frac{1}{2}\frac{c^{2}}{ab}$sq unit
• C. $\frac{2c^{2}}{ab}$sq unit
• D. None of these

Answer 1

Answer: (C)

$\frac{2c^{2}}{ab}$sq unit

Answer 2

Given lines are ax ± by ± c = 0

Area of rhombus = $\frac{1}{2}$ × (pr. of diagonals)

= $\frac{1}{2}$ × $\frac{2c}{a}$ × $\frac{2c}{b}$ = $\frac{2c^{2}}{ab}$