Question:medium
The roots of the equation \( \begin{vmatrix} x-1 & 1 & 1 \\ 1 & x-1 & 1 \\ 1 & 1 & x-1 \end{vmatrix} = 0 \) are:
The roots of the equation \( \begin{vmatrix} x-1 & 1 & 1 \\ 1 & x-1 & 1 \\ 1 & 1 & x-1 \end{vmatrix} = 0 \) are:
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Determinants with symmetric diagonal elements and constant off-diagonal elements often have a root found by summing a row, which makes all elements in that row identical.
Updated On: May 1, 2026
- \( 1, 2 \)
- \( -1, 2 \)
- \( -1, -2 \)
- \( 1, -2 \)
- \( 1, 1 \)
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The Correct Option is B
Solution and Explanation
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