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A variable straight line drawn through the point of intersection of lines `x/a+y/b=1` and `x/b+y/a=1` meets the co ordinates axes in A and B. Locus of the mid point of AB is ……….

A

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

B

2xy (a - b) = ab (x - y)

C

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

D

None of the above

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The correct Answer is:
A
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