Mathematics · 2019
JEE Main · 12 April 2019, Shift 2 · Q78
A straight line L at a distance of 4 units from the origin makes positive intercepts on the coordinate axes and the perpendicular from the origin to…
A straight line $\displaystyle L$ at a distance of $\displaystyle 4$ units from the origin makes positive intercepts on the coordinate axes and the perpendicular from the origin to this line makes an angle of $\displaystyle 60^{\circ}$ with the line $\displaystyle x+y=0$. Then an equation of the line L is :
Official answer
(1)
$\displaystyle (\sqrt{3}+1) x+(\sqrt{3}-1) y=8 \sqrt{2}$
(2)
$\displaystyle (\sqrt{3}-1) x+(\sqrt{3}+1) y=8 \sqrt{2}$
NTA’s answer key accepts either.
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.