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Mathematics · 2021

JEE Main · 27 August 2021, Shift 2 · Q63

Let [λ] be the greatest integer less than or equal to λ. The set of all values of λ for which the system of linear equations x+y+z=4,3 x+2 y+5 z=3,9…

Let $\displaystyle [\lambda]$ be the greatest integer less than or equal to $\displaystyle \lambda$. The set of all values of $\displaystyle \lambda$ for which the system of linear equations $\displaystyle x+y+z=4,3 x+2 y+5 z=3,9 x+4 y+(28+[\lambda]) z=[\lambda]$ has a solution is :
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