A) \[x+y-3=0\]
B) \[2x-y=9\]
C) \[x+2y=2\]
D) \[2x+y=7\]
Correct Answer: C
Solution :
Given equation of line having it intercepts on the x- axis and y?axis in the ratio 2:1 i.e., 2a and a \ \[\frac{x}{2a}+\frac{y}{a}=1\Rightarrow x+2y=2a\] ..... (i) According to question, Line (i) also passes through midpoint of \[(3,-4)\] and (5,2) i.e., \[(4,-1)\]. \ \[4+2(-1)=2a\Rightarrow a=1\] Hence the equation of required line is, \[x+2y=2\].You need to login to perform this action.
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