Question

The equation of the straight line whose intercepts on x-axis and y-axis are respectively twice and thrice of those by the line $3x+4y=12$, is

• A. $9x+8y=72$
• B. $9x-8y=72$
• C. $8x+9y=72$
• D. $8x+9y+72=0$

Answer 1

The correct option is A $9x+8y=72$

Given line is, $3x+4y=12$
$\Rightarrow \frac{x}{4}+\frac{y}{3}=1\Rightarrow \left(1\right)$
Thus intercepts on the axes by line $\left(1\right)$ are $4$ and $3$ respectively
So, the intercept on the axes of required line will be $8$ and $9$ respectively,
Hence it's equation is given by,
$\frac{x}{8}+\frac{y}{9}=1\Rightarrow 9x+8y=72$