# The least value of the product xyz for which the determinant x11 1y1 11 is non-negative, is :

Question:

The least value of the product $x y z$ for which the $\operatorname{determinant}\left|\begin{array}{ccc}\mathrm{x} & 1 & 1 \\ 1 & \mathrm{y} & 1 \\ 1 & 1 & \mathrm{z}\end{array}\right|$ is non-negative, is :

1. $-2 \sqrt{2}$

2. $-1$

3. $-16 \sqrt{2}$

4. $-8$

Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Matrices and Determinants chapter.
JEE Main Previous Year Online April 10, 2015

Solution:

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