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If a variable line drawn through the intersection of the lines x3+y4=1 and x4+y3=1 , meets the coordinate axes at A and B,(AB), then the locus of the midpoint of AB is :

(1)6xy=7(x+y)(2)4(x+y)228(x+y)+49=0(3)7xy=6(x+y)(4)14(x+y)297(x+y)+168=0

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