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A variable line through the point of int...

A variable line through the point of intersection of the lines `x/a+ y/b = 1` and `x/b + y/a = 1` meets the coordinate axes in A and B. Show that the locus of the midpoint of AB is the curve `2xy(a + b) = ab(x + y)`.

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The correct Answer is:
`(x+y)ab = 2xy (a+b) `
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