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

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

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

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

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If a variable line drawn through the intersection of the lines $\frac{x}{3} + \frac{y}{4} = 1$ and $\frac{x}{4} + \frac{y}{3} = 1$ , meets the coordinates axes at A and B, $(A \neq B)$ , then the locus of the midpoint of AB is

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$14 {(x + y)}^{2} - 97 (x + y) + 168 = 0$

$7 x y = 6 (x + y)$

$6 x y = 7 (x + y)$

$4 {(x + y)}^{2} - 28 (x + y) + 49 = 0$

answer is B.

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Point of intersection $(\frac{12}{7}, \frac{12}{7})$ required line is $\frac{X}{2 x_{1}} + \frac{Y}{2 y_{1}} = 1$

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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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If a variable line drawn through the intersection of the lines $\frac{x}{3} + \frac{y}{4} = 1$ and $\frac{x}{4} + \frac{y}{3} = 1$ , meets the coordinates axes at A and B, $(A \neq B)$ , then the locus of the midpoint of AB is