Mathematics · 2014
JEE Main · 11 April 2014, Shift 1 · Q73
Two ships A and B are sailing straight away from a fixed point O along routes such that ∠ AOB is always 120°. At a certain instance, OA =8 km, OB =6…
Two ships A and B are sailing straight away from a fixed point O along routes such that $\displaystyle \angle \mathrm{AOB}$ is always $\displaystyle 120$°. At a certain instance, $\displaystyle \mathrm{OA}=8 \mathrm{~km}, \mathrm{OB}=6 \mathrm{~km}$ and the ship A is sailing at the rate of $\displaystyle 20$ km/hr while the ship B sailing at the rate of $\displaystyle 30$ km/hr. Then the distance between A and B is changing at the rate (in km/hr) :
Official answer
(1)
$\displaystyle 260 / \sqrt{37}$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.