1.

A variable straight line is drawn through the point of intersection of the straight lines x2+y3=1 and x3+y2=1 and meets the coordinate axes at A and B. Then the locus of the mid-point of AB is

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A variable straight line is drawn through the point of intersection of the straight lines x2+y3=1 and x3+y2=1 and meets the coordinate axes at A and B. Then the locus of the mid-point of AB is



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