Let x = -1+i 3 2 if a=(1+a) _ k=a ^ 1010 a^ 2 k and b= _ k=m ^ 10 m ^ 3 k then a and b…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
Let \(\mathbf{x}=\frac{-1+i \sqrt{3}}{2}\) if \(a=(1+a) \sum_{k=a}^{1010} a^{2 k}\) and \(b=\sum_{k=m}^{10 m} \pi^{3 k}\) then a and b are the roots of the quadratic equation :
- \(x^{2}+101 x+100=0\)
- \(x^{2}-102 x+101=0\)
- \(x^{2}-101 x+100=0\)
- \(x^{2}+102 x+101=0\)
Answer
(B) x^ 2 -102 x+101=0
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