JEE Main 20246 Apr, Morning shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002Let α,β\alpha, \betaα,β be the distinct roots of the equation x2−(t2−5t+6)x+1=0,t∈Rx^2-\left(t^2-5 t+6\right) x+1=0, t \in \mathbb{R}x2−(t2−5t+6)x+1=0,t∈R and an=αn+βna_n=\alpha^n+\beta^nan=αn+βn. Then the minimum value of a2023+a2025a2024\frac{a_{2023}+a_{2025}}{a_{2024}}a2024a2023+a2025 isAOption A. −1/2-1 / 2−1/2BOption B. −1/4-1 / 4−1/4COption C. 1/41 / 41/4DOption D. 1/21 / 21/2CheckSkip · show solution
