CUET · MATHS · PYQ PAPER 2023
Which of the following is a factor of the determinant \(\left|\begin{array}{lll}a & b & c \\ b & c & a \\ c & a & b\end{array}\right|\)?
- A a + b
- B a + b + c
- C a - b + c
- D b + c
Answer & Solution
Correct Answer
(B) a + b + c
Step-by-step Solution
Detailed explanation
\(R_1 \rightarrow R_1 + R_2 + R_3\) \(\left|\begin{array}{ccc}a+b+c & a+b+c & a+b+c \\ b & c & a \\ c & a & b\end{array}\right|\) \(= (a+b+c)\left|\begin{array}{ccc}1 & 1 & 1 \\ b & c & a \\ c & a & b\end{array}\right|\) Factor: \(a+b+c\)
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