Choose the correct answer-If a- b- c- are in A-P- then the determinant - x-2 x-3 x-2 a- x-3 x-4 x-2 b- x-4 x-5 x-2 c -A- 0 B- 1 C- x D- 2 x

Answer: A Here, all the elements of the first row (R1) are zero. Hence, we have Δ = 0. The correct answer is A. ...

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Inorganic and Organic Biomolecules

Choose the co...

Question

Choose the correct answer.

If a, b, c, are in A.P., then the determinant

A. 0 B. 1 C. x D. 2x

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a, b, c

∣ ∣ ∣ ∣ \begin{matrix} x + 2 & x + 3 & x + 2 a x + 3 & x + 4 & x + 2 b x + 4 & x + 5 & x + 2 c \end{matrix} ∣ ∣ ∣ ∣

a, b

c

A P

∣ ∣ ∣ ∣ \begin{matrix} x + 2 & x + 3 & x + 2 a x + 3 & x + 4 & x + 2 b x + 4 & x + 5 & x + 2 c \end{matrix} ∣ ∣ ∣ ∣

a, b, c

∣ ∣ ∣ ∣ \begin{matrix} x + 2 & x + 3 & x + 2 a x + 3 & x + 4 & x + 2 b x + 4 & x + 5 & x + 2 c \end{matrix} ∣ ∣ ∣ ∣ = 0

|\begin{matrix} x + 2 & x + 3 & x + 2 a \\ x + 3 & x + 4 & x + 2 b \\ x + 4 & x + 5 & x + 2 c \end{matrix}|

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