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Matrices and Determinants question

2019 · 9 Apr · Shift 1 · Q37

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JEE Main
Mathematics
Matrices and Determinants
2019 · 9 Apr · Shift 1 · Q37

Matrices and Determinants question

2019 · 9 Apr · Shift 1 · Q37

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

\alpha

and

\beta

be the roots of the equation x2 + x + 1 = 0. Then for y

e

0 in R,

\left| {\begin{matrix} {y + 1} & \alpha & \beta \\ \alpha & {y + \beta } & 1 \\ \beta & 1 & {y + \alpha } \\ \end{matrix} } \right|

is equal to

A
y(y2 – 1)
B
y(y2 – 3)
C
y3
D
y3 – 1

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