Let α and β be the roots of the equation x^2 + x + 1 = 0. Then, for y ≠ 0 in R, beginvmatrix y+1 & α & β \ α & y+β & 1 \ β & 1 & y+α endvmatrix is equal to

Let α and β be the roots of the equation x^2 + x + 1 = 0.… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 9 April · Shift I

Let

\alpha

and

\beta

be the roots of the equation

x^2 + x + 1 = 0

. Then, for

y \neq 0

\mathbf{R}

\begin{vmatrix} y+1 & \alpha & \beta \\ \alpha & y+\beta & 1 \\ \beta & 1 & y+\alpha \end{vmatrix}

is equal to

Show answer

Correct option: D

[JEE Main 2019 · 9 April · Shift I]

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