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If , then the value of is equal to

Mathematics20231 markMCQ
If $\begin{vmatrix} a & b & c \\\\ x+a & y+2a & z+3a \\\\ 1 & 2 & 3 \end{vmatrix} = \begin{vmatrix} a & b & c \\\\ x & y & z \\\\ 1 & 2 & 3 \end{vmatrix} + |B|$, then the value of $|B|$ is equal to
  • (a)$a + 2b + 3c$
  • (b)$a - b + 2c$
  • (c)$0$
  • (d)$3a$

Answer

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Determinants

From ISC 2023 Specimen Mathematics Paper 1, question 1(vi).