Mathematics · 2018
JEE Main · 16 April 2018, Shift 1 · Q78
The locus of the point of intersection of the lines, √ 2 x-y+4 √ 2 k =0 and √ 2 k x+ k y-4 √ 2 =0 ( k is any non-zero real parameter), is:
The locus of the point of intersection of the lines, $\displaystyle \sqrt{2} x-y+4 \sqrt{2} \mathrm{k}=0$ and $\displaystyle \sqrt{2} \mathrm{k} x+\mathrm{k} y-4 \sqrt{2}=0$ ( k is any non-zero real parameter), is :
Official answer
(4)
a hyperbola with length of its transverse axis $\displaystyle 8 \sqrt{2}$.
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JEE Main 2018 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.