If the system of equations 2x+3y-z=0|Matrices|JEE-Main 2019

JEE MAIN 2019

09-04-2019 S2

Question

If the system of equations $2 x+3 y-z=0, x+k y-2 z=0$ and $2 x-y+z=0$ has a non-trivial solution $(x, y, z)$, then $\frac{x}{y}+\frac{y}{z}+\frac{z}{x}+k$ is equal to :

Select the correct option:

$\frac{1}{2}$

$-4$

$\frac{3}{4}$

$-\frac{1}{4}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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