Mathematics

Eleven Standard

Test your understanding of this lesson Complex number | Introduction:-

1)
The roots of the equation \(x^{2}-5\) are
  • \(\sqrt{5}i\)
  • \(\pm\sqrt{5}i\)
  • \(\pm\sqrt{5}\)
  • \(\pm 5\)
2)
The roots of the equation \(x^{2}+2\) are
  • \(\sqrt{2}i\)
  • \(\pm\sqrt{2}i\)
  • \(\pm\sqrt{2i}\)
  • -2i
3)
\(i^{n}+i^{n+1}+i^{n+2}+i^{n+3}=\)
  • 0
  • 1
  • i
  • -i
4)
The least positive integer n such that \(\Big(\frac{2i}{1+i}\Big)^{n}\) is a positive integer, is
  • 1
  • 2
  • 8
  • 16
5)
If \(i^{2}\)=-1,then \(i+i^{2}+i^{3}\)+...to 999 terms =
  • i
  • 1
  • -i
  • -1

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