JEE Math Practice Question
Let $$\alpha $$ and $$\beta $$ be the roots of the equation x2 + x + 1 = 0. Then for y $$ \ne $$ 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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