Question

The area of a triangle formed by coordinates axes with the line $ax+by+c=0$ is ?

• A. $\frac{c}{ab}$
• B. $\frac{c}{2ab}$
• C. $\frac{c^2}{ab}$
• D. $\frac{c^2}{2ab}$

Answer 1

The correct option is D $\frac{c^2}{2ab}$

Given equation

$ax+by+c=0$

On putting $y=0$ we get x-intercept $x=\frac{-c}{a}$

On putting $x=0$ we get y-intercept $y=\frac{-c}{b}$

Area $=\frac{-c}{a}\times \frac{-c}{b}=\frac{c^2}{ab}$