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Choose the Correct Answer.If A, B, C, Are in A.P., Then the Determinant

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Question

Choose the correct answer.

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

`|(x+2, x+3,x +2a),(x+3,x+4,x+2b),(x+4,x+5,x+2c)|`

A. 0

B. 1

C. x

D. 2x

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Solution

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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Chapter 4: Determinants - Exercise 4.7 [Page 143]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 4 Determinants
Exercise 4.7 | Q 17 | Page 143
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