A) \[3x-5y=12\]
B) \[~3x+5y=12\]
C) \[~3x+5y=-12\]
D) \[3x-5y=-12\]
Correct Answer: B
Solution :
The required equation is: \[\frac{x}{a}+\frac{y}{b}=1\] where \[a=4\] The straight line passes through \[(-1,\,3).\] \[\therefore \] \[\frac{-1}{4}+\frac{3}{b}=1\] \[\Rightarrow \]\[\frac{3}{b}=1+\frac{1}{4}=\frac{5}{4}\] \[\Rightarrow \]\[b=\frac{4\times 3}{5}=\frac{12}{5}\] \[\therefore \] \[\frac{x}{a}+\frac{y}{b}=1\] \[\Rightarrow \]\[\frac{x}{4}+\frac{5y}{12}=1\] \[\Rightarrow \]\[\frac{3x+5y}{12}=1\] \[\Rightarrow \]\[3x+5y=12\]
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