If \( \alpha, \beta \neq 0 \) and \( f(n)=\alpha^{n}+\beta^{n} \) and \( \left|\begin{array}{ccc}3

If \( \alpha, \beta \neq 0 \) and \( f(n)=\alpha^{n}+\beta^{n} \) and \( \left|\begin{array}{ccc}3 & 1+f(1) & 1+f(2) \\ 1+f(1) & 1+f(2) & 1+f(3) \\ 1+f(2) & 1+f(3) & 1+f(4)\end{array}\right| \)
\( =K(1-\alpha)^{2}(1-\beta)^{2}(\alpha-\beta)^{2} \), then \( K \) is equal to (2014 Main)
(a) \( \alpha \beta \)
(b) \( \frac{1}{\alpha \beta} \)
(c) 1
(d) \( -1 \)
Your queries-

PYQ's of JEE Mains
Matrix and Determinants PYQ's
Important questions of matrix Determinants

Видео If \( \alpha, \beta \neq 0 \) and \( f(n)=\alpha^{n}+\beta^{n} \) and \( \left|\begin{array}{ccc}3 канала Lovely Classes