A line moves in such away that the sum of the intercepts made by it on the axes is always c ( constant). The locus of midpoint of its intercepts between the axes is

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x+y=2c

x+y=c

2(x+y)=c

x=−2

answer is A.

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Detailed Solution

a line meet coordinate axes atA,B whereA(a,0)B(0,b)a+b=c(x,y)=(a/2,b/2)a=2x,b=2y

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