JEE Main 2019 Mathematics question
Let α and β be the roots of the equation . Then for y ≠ 0 in R, is equal to:
Answer: (B)
Solution
α, β = ω, ω²; adding all rows gives the factor y (since 1 + ω + ω² = 0) and the determinant reduces to .
Let α and β be the roots of the equation . Then for y ≠ 0 in R, is equal to:
α, β = ω, ω²; adding all rows gives the factor y (since 1 + ω + ω² = 0) and the determinant reduces to .