Question

If α, β ≠ 0, f(n) = αⁿ + βⁿ and |(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))| = K(1 - α)²(1 - β)²(α - β)², then K is equal to

(a) αβ

(b) 1/αβ

(c) 1

(d) - 1

Answer 1

Correct option (c) 1

Explanation:

On expanding, we get