Let the set of all positive values of \lambda, for which the point of local minimum of the function (1+x (\lambda^2-x^2) ) \text{ satisfies } \frac{x^2+x+2}{x^2+5 x+6} < 0 \text{, be }(\alpha, \beta) \text{. } Then \alpha^2+\beta^2 is equal to ______. [9 Apr 2024 Shift 1]

Application of Derivatives Part 3

Section: Mathematics

Question : 23 of 30

Marks: +1, -0

Let the set of all positive values of λ, for which the point of local minimum of the function
(1+x(λ2−x2))‌ satisfies ‌‌

x2+x+2

x2+5x+6

<0‌, be ‌(α,β)‌. ‌
Then α2+β2 is equal to ______.

[9 Apr 2024 Shift 1]

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