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Mathematics · 2021

JEE Main · 24 February 2021, Shift 2 · Q88

Let λ be an integer. If the shortest distance between the lines x-λ=2 y-1=-2 z and x=y+2 λ=z-λ is (√ 7)/(2 √ 2), then the value of |λ| is \ \ \ \.

Let $\displaystyle \lambda$ be an integer. If the shortest distance between the lines $\displaystyle x-\lambda=2 y-1=-2 z$ and $\displaystyle x=y+2 \lambda=z-\lambda$ is $\displaystyle \frac{\sqrt{7}}{2 \sqrt{2}}$, then the value of $\displaystyle |\lambda|$ is \_\_\_\_.
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