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

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6xy=7x+y

7xy=6x+y

4(x+y)2−28(x+y)+49=0

14(x+y)2−97(x+y)+168=0

answer is B.

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Detailed Solution

Point of intersection 127,127 required line is X2x1+Y2y1=1

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