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Let alpha=(-1+isqrt(3))/2 and a=(1+alpha...

Let `alpha=(-1+isqrt(3))/2` and `a=(1+alpha)sum_(k=0)^(100) alpha^(2k),b=sum_(k=0)^(100) alpha^(3k)` . If a and b are roots of quadratic equation then quadratic equation is

A

`x^2 +101x +100 =0`

B

`x^2 -102 x+101=0`

C

`x^2 -101x +100 =0`

D

`x^2 +102 x+101 =0`

Text Solution

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The correct Answer is:
B
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