If α, β, γ satisfy the equation <math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced open="|
Step-by-Step Solution
Key Concept: The determinant is |1 x 1; 1 1 x; 1 1 x| = 1(1-x) - x(1-x) + 1(1-1) = (1-x)(1-x) = (1-x)^2. Setting this to 0 gives x=1. The question implies \alpha, \beta, \gamma are roots of the equation derived from the determinant.
The determinant is |1 x 1; 1 1 x; 1 1 x| = 1(1-x) - x(1-x) + 1(1-1) = (1-x)^2. Setting this to 0 gives x=1. The question is likely based on a different determinant or context where \alpha, \beta, \gamma are roots of a cubic equation.
Correct Answer: A,B,C,D