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Quadratic Equation and Inequalities question

2024 · 27 Jan · Shift 2 · Q37

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2024 · 27 Jan · Shift 2 · Q37

Quadratic Equation and Inequalities question

2024 · 27 Jan · Shift 2 · Q37

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

If

\alpha, \beta

are the roots of the equation,

x^2-x-1=0

and

S_n=2023 \alpha^n+2024 \beta^n

, then :

A
$2 S_{12}=S_{11}+S_{10}$
B
$S_{12}=S_{11}+S_{10}$
C
$S_{11}=S_{10}+S_{12}$
D
$2 S_{11}=S_{12}+S_{10}$

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