JEE Main 202427 Jan, Evening shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002If α,β\alpha, \betaα,β are the roots of the equation, x2−x−1=0x^2-x-1=0x2−x−1=0 and Sn=2023αn+2024βnS_n=2023 \alpha^n+2024 \beta^nSn=2023αn+2024βn, then :AOption A. 2S12=S11+S102 S_{12}=S_{11}+S_{10}2S12=S11+S10BOption B. S12=S11+S10S_{12}=S_{11}+S_{10}S12=S11+S10COption C. S11=S10+S12S_{11}=S_{10}+S_{12}S11=S10+S12DOption D. 2S11=S12+S102 S_{11}=S_{12}+S_{10}2S11=S12+S10CheckSkip · show solution
