If Δ 1 = ∣ ∣ ∣ 1 0 a b ∣ ∣ ∣ and Δ 2 = ∣ ∣ ∣ 1 0 c d ∣ ∣ ∣ , then Δ 2 Δ 1 is equal to Options: A . &nbspac B . &nbspbd C . &nbsp(b − a)(d − c) D . &nbspabc

Answer: Option B : B Δ 2 Δ 1 = ∣ ∣ ∣ 1 0 c d ∣ ∣ ∣ ∣ ∣ ∣ 1 0 a b ∣ ∣ ∣ = ∣ ∣ ∣ 1 0 c + a d b d ∣ ∣ ∣ = b d .

If Δ1 = ∣∣∣10ab∣∣∣ and

Question

Δ_{1} = ∣ ∣ ∣ \begin{matrix} 1 & 0 a & b \end{matrix} ∣ ∣ ∣

and

Δ_{2} = ∣ ∣ ∣ \begin{matrix} 1 & 0 c & d \end{matrix} ∣ ∣ ∣

, then

Δ_{2} Δ_{1}

is equal to

Options:

A . ac

B . bd

C . (b − a)(d − c)

D . abc

Answer: Option B
:
B

Δ_{2} Δ_{1} = ∣ ∣ ∣ \begin{matrix} 1 & 0 c & d \end{matrix} ∣ ∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 & 0 a & b \end{matrix} ∣ ∣ ∣ = ∣ ∣ ∣ \begin{matrix} 1 & 0 c + a d & b d \end{matrix} ∣ ∣ ∣ = b d .

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