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Mathematics · 2018

JEE Main 2018 · 2018-04-08 Offline · Q65

If the system of linear equations x+ k y+3 z=0; 3 x+ k y-2 z=0; 2 x+4 y-3 z=0 has a non-zero solution (x, y, z), then (x z)/y^2 is equal to:

If the system of linear equations $$\begin{array}{r} x+\mathrm{k} y+3 z=0 \\ 3 x+\mathrm{k} y-2 z=0 \\ 2 x+4 y-3 z=0 \end{array} $$ has a non-zero solution $\displaystyle (x, y, z)$, then $\displaystyle \frac{x z}{y^2}$ 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.