Which of the following values of α satisfy the equation | array ccc (1+ )^ 2 & (1+2 )^ 2…
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
Which of the following values of α satisfy the equation
\[\left|\begin{array}{ccc} (1+\alpha)^{2} & (1+2 \alpha)^{2} & (1+3 \alpha)^{2} \\ (2+\alpha)^{2} & (2+2 \alpha)^{2} & (2+3 \alpha)^{2} \\ (3+\alpha)^{2} & (3+2 \alpha)^{2} & (3+3 \alpha)^{2} \end{array}\right|=-648 \alpha ?\]
\[\left|\begin{array}{ccc} (1+\alpha)^{2} & (1+2 \alpha)^{2} & (1+3 \alpha)^{2} \\ (2+\alpha)^{2} & (2+2 \alpha)^{2} & (2+3 \alpha)^{2} \\ (3+\alpha)^{2} & (3+2 \alpha)^{2} & (3+3 \alpha)^{2} \end{array}\right|=-648 \alpha ?\]
- –4
- 9
- –9
- 4
Answer
(C) –9
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