The area of the triangle formed by the line $\frac{x}{a}+\frac{y}{b}=1$ with the coordinate axes is

Question

The area of the triangle formed by the line $\frac{x}{a}+\frac{y}{b}=1$ with the coordinate axes is :\

Professor PC Thomas Classes · Answer

(b) : $\frac{x}{a}+\frac{y}{b}=1 \Rightarrow b x+a y=a b$ Given line intersects $x$-axis at $A(a, 0)$ and $y$-axis at $(0, b)$.\ Now, area of $	riangle B O A$ $$ \begin{aligned} & =\frac{1}{2} 	imes 	ext { base × height } \ & =\frac{1}{2} 	imes a 	imes b=\frac{a b}{2} 	ext { sq. units } \end{aligned} $$ \