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Year

CAT 2024

Section

Quantitative

Topic

Linear and Quadratic Equations

Difficulty

Hard

Question

Slot-2

The roots α\alpha, β\beta of the equation 3x2+λx1=03x^2 + \lambda x - 1 = 0, satisfy 1α2+1β2=15\dfrac{1}{\alpha^2} + \dfrac{1}{\beta^2} = 15. The value of (α3+β3)2(\alpha^3 + \beta^3)^2, is

9

16

4

1

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