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Quadratic Equation and Inequalities question

2024 · 6 Apr · Shift 1 · Q41

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2024 · 6 Apr · Shift 1 · Q41

Quadratic Equation and Inequalities question

2024 · 6 Apr · Shift 1 · Q41

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

Let

\alpha, \beta

be the distinct roots of the equation

x^2-\left(t^2-5 t+6\right) x+1=0, t \in \mathbb{R}

and

a_n=\alpha^n+\beta^n

. Then the minimum value of

\frac{a_{2023}+a_{2025}}{a_{2024}}

is

A
$-1 / 2$
B
$-1 / 4$
C
$1 / 4$
D
$1 / 2$

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