\alpha and \beta are distinct real roots of the quadratic equation x^2+a x+b=0. Which of the following statements is/are sufficient to find \alpha ? 1. \alpha+\beta=0, \alpha^2+\beta^2=2 2. \alpha \beta^2=-1, a=0 Select the correct answer using the code given below : [NDA I 2023]

Correct Answer is : Both 1 and 2

UPSC NDA I 2023 Mathematics Solved Paper

Question : 23 of 120

Marks: +1, -0

α and β are distinct real roots of the quadratic equation x2+ax+b=0. Which of the following statements is/are sufficient to find α ?
1. α+β=0,α2+β2=2
2. αβ2=−1,a=0
Select the correct answer using the code given below :

[NDA I 2023]

1 only
2 only
Both 1 and 2
Neither 1 nor 2

Validate

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