A) \[2x+y=4\]
B) \[2x+y+4=0\]
C) \[2x-y=4\]
D) \[2x-y+4=0\]
Correct Answer: A
Solution :
[a] Let the line make intercept ?a? on x-axis. Then it makes intercept ?2a? on y-axis. Therefore, the equation of the line is given by \[\frac{x}{a}+\frac{y}{2a}=1\] it passes through (1, 2), so, we have \[\frac{1}{a}+\frac{2}{2a}=1\] or \[a=2\] Therefore, the required equation of the line is given by \[\frac{x}{2}+\frac{y}{4}=1\] or \[2x+y=4\]
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