If α,β are the roots of ∣∣
∣∣x120111x2∣∣
∣∣ = 0 then αn+βn=?
A
0
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B
1
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C
2
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D
2n
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Solution
The correct option is B 2 ∣∣
∣∣x120111x2∣∣
∣∣=0 So, x(2−x)−1(−1)+2(−1)=0 2x−x2−1=0 x2−2x+1=0 x=1 So, Given that α,β are roots of x2−2x+1=0 So, α=β=1 So, αn+βn=2