• JEE Main & Advanced
• 
• 12th
• 
• Mathematics
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Q.

Please solve this
 If \(\alpha,\beta \neq0, f (n) = \alpha^n + \beta^n\)and
\(\begin{vmatrix} 3 & 1 + f(1) & 1 + f(2) \\ 1 + f(1) & 1 + f(2) & 1 + f(3) \\ 1 + f(2) & 1 + f(3) & 1 + f(4) \end{vmatrix}\)
\(= K (1-\alpha)^2(1-\beta)^2 (\alpha-\beta)^2,\) then K is equal to 
(a) \(\alpha \beta\)            (b) \( {{1} \over \alpha\beta}\)
(c) 1               (d) \(-1\)