Question

The area of triangle formed by the line x/a + y/b = 1 with the coordinate axes is
a) 2ab
b) 1/4ab
c) 1/2ab
d) ab​

Answer 1

Answer:

The correct answer is option (c) $\frac{1}{2}ab$

Step-by-step explanation:

Given line is  

             $\displaystyle \frac{x}{a}+\frac{y}{b}=1$

This line intersect x axis at A$(a,0)$ and y axis at B$(0,b)$ and origin (O) is the point of intersection of coordinate axes.

Since triangle OAB is right angled

Thus area $=\frac{1}{2}\times \text{OA}\times \text{OB}=\frac{1}{2}ab$