Mathematics · 2016
JEE Main · 9 April 2016, Shift 1 · Q78
If a variable line drawn through the intersection of the lines x/3+y/4=1 and x/4+y/3=1, meets the coordinate axes at A and B,( A ≠ B ), then the…
If a variable line drawn through the intersection of the lines $\displaystyle \frac{x}{3}+\frac{y}{4}=1$ and $\displaystyle \frac{x}{4}+\frac{y}{3}=1$, meets the coordinate axes at A and $\displaystyle \mathrm{B},(\mathrm{A} \neq \mathrm{B})$, then the locus of the midpoint of AB is :
Official answer
(3)
$\displaystyle 7 x y=6(x+y)$
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JEE Main 2016 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.