Let α and β be two real roots of the equation

Question:

Let $\alpha$ and $\beta$ be two real roots of the equation $(\mathrm{k}+1) \tan ^{2} \mathrm{x}-\sqrt{2} \cdot \lambda \tan \mathrm{x}=(1-\mathrm{k})$, where $\mathrm{k}(\neq-1)$ and $\lambda$ are real numbers. If $\tan ^{2}(\alpha+\beta)=50$, then a value of $\lambda$ is ;

  1. 5

  2. 10

  3. $5 \sqrt{2}$

  4. $10 \sqrt{2}$


Correct Option: , 2

Solution:

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