JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
The value of \(\left|\begin{array}{lll}(a+1)(a+2) & a+2 & 1 \\ (a+2)(a+3) & a+3 & 1 \\ (a+3)(a+4) & a+4 & 1\end{array}\right|\) is
- A \((a+2)(a+3)(a+4)\)
- B \(-2\)
- C \((a+1)(a+2)(a+3)\)
- D \(0\)
Answer & Solution
Correct Answer
(B) \(-2\)
Step-by-step Solution
Detailed explanation
\(R _{2} \rightarrow R _{2}- R _{1}\) and \(R _{3} \rightarrow R _{3}- R _{1}\) \(\Delta=\left|\begin{array}{ccc}(a+1)(a+2) & a+2 & 1 \\ (a+2)(a+3-a-1) & 1 & 0 \\ a^{2}+7 a+12-a^{2}-3 a-2 & 2 & 0\end{array}\right|\)…
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