The length of the intercept of the graph of the equation 9x - 12y = 108 between the two axes is-

Answer: Option A

Solution

Answer: Option A

Solution:

$$\begin{array}{rl}& 9x-12y=108\\ & \Rightarrow \frac{9x}{108}-\frac{12y}{108}=1\\ & \Rightarrow \frac{x}{12}-\frac{y}{9}=1\end{array}$$

$$\begin{array}{rl}& \text{Length of Intercept}=\sqrt{{12}^2+9^2}\\ & =\sqrt{144+81}\\ & =\sqrt{225}\\ & =15\text{ units}\end{array}$$