If . array ccc a-b-c & 2 a & 2 a 2 b & b-c-a & 2 b 2 c & 2 c & c-a-b array…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
If \(\left.\begin{array}{ccc}
a-b-c & 2 a & 2 a \\
2 b & b-c-a & 2 b \\
2 c & 2 c & c-a-b
\end{array} \right\rvert\,=(a+b+c)(x+a+b+c)^{2}, x \neq 0\) and \(a+b+c \neq 0\), then x is equal to:
- \(-2(a+b+c)\)
- \(2(a+b+c)\)
- abc
- \(-(\mathbf{a}+\mathbf{b}+\mathbf{c})\)
Answer
(D) -( a + b + c )
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