CUET · MATHS · PYQ PAPER 2023
The value of the determinant \(D=\) equation \(\left|\begin{array}{lll}x & a & a+x \\ y & b & b+y \\ z & c & c+z\end{array}\right|\) is:
- A \(0\)
- B 1
- C -2
- D \(x+y+z\)
Answer & Solution
Correct Answer
(A) \(0\)
Step-by-step Solution
Detailed explanation
\(D=\left|\begin{array}{lll}x & a & a+x \\ y & b & b+y \\ z & c & c+z\end{array}\right|\) \(C_3 \to C_3 - C_2\) \(D=\left|\begin{array}{lll}x & a & x \\ y & b & y \\ z & c & z\end{array}\right|\) \(C_1\) and \(C_3\) are identical. \(D=0\)
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