A) \[2x+y=4\]
B) \[2x+y+4=0\]
C) \[2x-y=4\]
D) \[2x-\text{ }y+4=0\]
Correct Answer: A
Solution :
Let intercepts made by the required line on \[x\]and \[y\]axes are a and 2a respectively. The equation of line is \[\frac{x}{y}+\frac{y}{2a}=1\] Since, this line passes through the point (1, 2), so \[\frac{1}{a}+\frac{2}{2a}=1\] \[\Rightarrow \] \[2=a\] \[\Rightarrow \] \[a=2\] Thus, the required equation of line is \[\frac{x}{y}+\frac{y}{4}=1\] \[\Rightarrow \] \[2x+y=4\]You need to login to perform this action.
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