Question

Let α  and β be the roots of the equation x² + x + 1 = 0. Then for y ≠ 0 in R, |(y + 1,α, β),(α,y + β,1),(β, 1,y + α)|  is equal to :

(1)  y(y² – 3)

(2)  y³ 

(3)  y(y² – 1)

(4)   y³ – 1

Answer 1

Correct option  (2) y³ 

Explanation:

Roots of eqⁿ . x² + x + 1 = 0 are α and β