The value of 1 1 1 1 1 - x 1 1 1 1 - y is

The correct option is B xy 1 amp; 1 amp; 1 1 amp; 1+x amp; 1 1 amp; 1 amp; 1+y =1((1+x)(1+y) 1) 1(1+y 1)+1(1 1 x) ...

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Properties of Determinants

The value of ...

Question

The value of $∣ ∣ ∣ ∣ \begin{matrix} 1 & 1 & 1 1 & 1 + x & 1 1 & 1 & 1 + y \end{matrix} ∣ ∣ ∣ ∣$ is

x + y

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x - y

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x y

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1 + x + y

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Δ = ∣ ∣ ∣ ∣ \begin{matrix} 1 & 1 & 1 1 & 1 + x & 1 1 & 1 & 1 + y \end{matrix} ∣ ∣ ∣ ∣

x \neq 0, y \neq 0

Δ

D = ∣ ∣ ∣ ∣ \begin{matrix} 1 & 1 & 1 1 & 1 + x & 1 1 & 1 & 1 + y \end{matrix} ∣ ∣ ∣ ∣

x \neq 0, y \neq 0

D

D =

∣ ∣ ∣ ∣ \begin{matrix} 1 & 1 & 1 1 & 1 + x & 1 1 & 1 & 1 + y \end{matrix} ∣ ∣ ∣ ∣

x \neq 0, y \neq 0,

∣ ∣ ∣ ∣ \begin{matrix} 1 & 1 & 1 1 & 1 + x & 1 1 & 1 & 1 + y \end{matrix} ∣ ∣ ∣ ∣ =

A = ∣ ∣ ∣ ∣ \begin{matrix} 1 & 1 & 1 1 & 1 + x & 1 1 & 1 & 1 + y \end{matrix} ∣ ∣ ∣ ∣ =

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