1.If 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 S12S_{12}S12 is equal to:a.2(S12−S11+S10)2(S_{12} - S_{11} + S_{10})2(S12−S11+S10)b.S12+S11−S10S_{12} + S_{11} - S_{10}S12+S11−S10c.2(S11−S12+S10)2(S_{11} - S_{12} + S_{10})2(S11−S12+S10)d.S11−S10−S12S_{11} - S_{10} - S_{12}S11−S10−S12Login to continueOnly logged in users canattempt or see the solution.