If | array ccc x^ 2 +x & x+1 & x-2 2 x^ 2 +3 x-1 & 3 x & 3 x-3 x^ 2 +2 x+3 & 2 x-1 & 2…
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
If \[\left|\begin{array}{ccc}
x^{2}+x & x+1 & x-2 \\
2 x^{2}+3 x-1 & 3 x & 3 x-3 \\
x^{2}+2 x+3 & 2 x-1 & 2 x-1
\end{array}\right|\] = Ax + B, where A and B are constants, then
- A + B = 12
- A – B = 36
- A2 + B2 = 720
- A + 2B = 0
Answer
(A) A + B = 12, (B) A – B = 36, (C) A 2 + B 2 = 720, (D) A + 2B = 0
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