COMEDK · Maths · 22. Determinants
If \(a, b, c\) are in \(\mathrm{AP}\), then the value of the determinant \(\left|\begin{array}{lll}x+2 & x+3 & x+2 a \\ x+3 & x+4 & x+2 b \\ x+4 & x+5 & x+2 c\end{array}\right|\) is
- A 0
- B 1
- C \(x\)
- D \(2 x\)
Answer & Solution
Correct Answer
(A) 0
Step-by-step Solution
Detailed explanation
Let \(\Delta=\left|\begin{array}{lll}x+2 & x+3 & x+2 a \\ x+3 & x+4 & x+2 b \\ x+4 & x+5 & x+2 c\end{array}\right|\) Applying \(R_{2} \rightarrow 2 R_{2}\), we get…
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