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A variable line through the point of intersection of the lines `x/a+y/b=1` and `x/b+y/a=1` , meets the co-ordinate axes in A and B, then the locus of mid point of AB is

A

`(x+y)ab =2xy(a+b)`

B

x+y=2xy

C

`(x+y)ab=xy(a+b)`

D

none of these

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The correct Answer is:
A
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