If \alpha,\beta\neq0, and f(n)=\alpha^n+\beta^n and |\table 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-\alpha)^2 (1-\beta)^2 (\alpha-\beta)^2,then K is equal to [Main 2014]

JEE Main 2014 Question Paper

Section: Mathematics

Question : 43 of 90

Marks: +1, -0

If α,β≠0, and f(n)=αn+βn and |

| =K(1−α)2‌(1−β)2‌(α−β)2,then K is equal to

[Main 2014]

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