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CAT 2024 Set-2 | Quantitative Aptitude | Question: 1

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The roots $\alpha, \beta$ of the equation $3 x^{2}+\lambda x-1=0$, satisfy $\frac{1}{\alpha^{2}}+\frac{1}{\beta^{2}}=15$. The value of $\left(\alpha^{3}+\beta^{3}\right)^{2}$, is

  1. $1$
  2. $4$
  3. $9$
  4. $16$

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