# If a + x = b + y = c + z + 1, where a, b, c, x, y, z are non-ero distinct real numbers, then xayxa yby yb zcy zc + + + + + + is equal to :

Question:

If $a+x=b+y=c+z+1$, where $a, b, c, x, y, z$ are non-zero distinct real numbers, then $\left|\begin{array}{lll}x & a+y & x+a \\ y & b+y & y+b \\ z & c+y & z+c\end{array}\right|$ is equal to :

1. $y(b-a)$

2. $y(a-b)$

3. 0

4. $y(a-c)$

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Matrices and Determinants chapter.
JEE Main Previous Year Sep. 05, 2020 (II)

Solution:

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