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The length of the intercept of the graph of the equation 9x - 12y = 108 between the two axes is-
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
& 9x - 12y = 108 \cr
& \Rightarrow \frac{{9x}}{{108}} - \frac{{12y}}{{108}} = 1 \cr
& \Rightarrow \frac{x}{{12}} - \frac{y}{9} = 1 \cr} $$
$$\eqalign{ & {\text{Length of Intercept}} = \sqrt {{{12}^2} + {9^2}} \cr & = \sqrt {144 + 81} \cr & = \sqrt {225} \cr & = 15{\text{ units}} \cr} $$
$$\eqalign{ & {\text{Length of Intercept}} = \sqrt {{{12}^2} + {9^2}} \cr & = \sqrt {144 + 81} \cr & = \sqrt {225} \cr & = 15{\text{ units}} \cr} $$
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