First slide

Cartesian plane

Question

Area of the rhombus enclosed by the lines $a x \pm b y \pm c = 0$ is

Moderate

A

$2 a^{2} / b c$
B

$2 b^{2} / c a$
C

$2 c^{2} / a b$
D

none of these

Solution

Area of the rhombus
$= \frac{1}{2}$ product of the diagonals
$= \frac{1}{2} \times \frac{2 c}{a} \times \frac{2 c}{b} = \frac{2 c^{2}}{a b}$

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