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Factorization Method Form to Remove Indeterminate Form

If α, β, γ,...

Question

If $α, β, γ, δ$ are in $A . P .$ and $\int_{0}^{2} f (x) d x = - 4$ where
$f (x) = ∣ ∣ ∣ ∣ ∣ \begin{matrix} x + α & x + β & x + α - γ x + β & x + γ & x - 1 x + γ & x + δ & x - β + δ \end{matrix} ∣ ∣ ∣ ∣ ∣$
then the common difference $d$ is:

A

1

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B

- 1

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C

2

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D

- 2

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Solution

The correct options are
A $1$
B $- 1$

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