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Let alpha =(-1+isqrt3)/(2). If a=(1+...

Let `alpha =(-1+isqrt3)/(2). `If
`a=(1+alpha) sum_(k=0)^(100) alpha^(2k)and b=sum_(k=0)^(100) alpha^(h3k),` then, a and b are the roots of the quadrartic equation :

A

`X^(2)-102X+101=0`

B

`X^(2)+102X+101=0`

C

`X^(2)+101+100=0`

D

`X^(2)=101X+100=0`

Text Solution

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The correct Answer is:
A
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