Question

The value of determinant $\left| \begin{array} { l l l } a - b & b - c & c - a \\ x - y & y - z & z - x \\ p - q & q - r & r - p \end{array} \right|$ is –

• A. 0
• B. abc + pqr + xyz
• C. (a – x) (y – z) (r – p)
• D. None of these

Answer 1

Answer: (A)

0

Answer 2

Let Cl → C + C₂ + C₃

∴ ∆ = $\left| \begin{matrix} 0 & b–c & c–a \\ 0 & y–2 & z–x \\ 0 & q–r & r–p \end{matrix} \right|$ = 0