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Mathematics · 2018

JEE Main · 16 April 2018, Shift 1 · Q83

If the angle between the lines, x/2=y/2=z/1 and (5-x)/-2=(7 y-14)/p=(z-3)/4 is cos^-1(2/3), then p is equal to:

If the angle between the lines, $\displaystyle \frac{x}{2}=\frac{y}{2}=\frac{z}{1}$ and $\displaystyle \frac{5-x}{-2}=\frac{7 y-14}{\mathrm{p}}=\frac{z-3}{4}$ is $\displaystyle \cos ^{-1}\left(\frac{2}{3}\right)$, then p is equal to :
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JEE Main 2018 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.