Question

The area of triangle formed by the line $x=0,y=0$ and $3x+4y=12$ is

• A. $12$
• B. $6$
• C. $2$
• D. none of these

Answer 1

The correct option is B $6$

Given the equation of the line is $3x+4y=12$, it can be put in the form $\frac{x}{3}+\frac{y}{4}=1$......(1).

From equation (1) it is clear that the $y-$ intercept and $x-$ intercept made by the line (1) is $4$ and $3$ units.

So the are of the triangle made by the $x,y$ axes and the line (1) is $\frac{1}{2}\times 3\times 4=6$ sq. units.