Mathematics · 2019
JEE Main · 9 January 2019, Shift 1 · Q89
If cos^-1(2/(3 x))+ cos^-1(3/(4 x))=(π)/2(x>3/4), then x is equal to:
If $\displaystyle \cos ^{-1}\left(\frac{2}{3 x}\right)+\cos ^{-1}\left(\frac{3}{4 x}\right)=\frac{\pi}{2}\left(x>\frac{3}{4}\right)$,
then $\displaystyle x$ is equal to:
Official answer
(1)
$\displaystyle \frac{\sqrt{145}}{12}$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.