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If α|α34121141| = 0, then the value of α is ______. - Mathematics

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Question

If `|(α, 3, 4),(1, 2, 1),(1, 4, 1)|` = 0, then the value of α is ______.

Options

  • 1

  • 2

  • 3

  • 4

MCQ
Fill in the Blanks

Solution

If `|(α, 3, 4),(1, 2, 1),(1, 4, 1)|` = 0, then the value of α is 4.

Explanation:

If two rows/columns are identical in any determinant, the value becomes zero.

In given determinant on comparing C1 and C3.

We conclude α = 4.

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2022-2023 (March) Delhi Set 1

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