Home
Class 12
MATHS
The maximum value of n lt 101 such that ...

The maximum value of `n lt 101` such that `1+sum_(k=1)^(n)i^(k)=0` is

A

96

B

97

C

99

D

100

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos
  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

Similar Questions

Explore conceptually related problems

Evaluate sum_(k=1)^11(2+3^k)

The value of sum_(n=1)^(10) n is:

The value of the sum sum_(n=1) ^(13) (i^(n)+i^(n+1)) , where i = sqrt( - 1) ,equals :

The value of the sume sum_(n=1)^(13) ( i^(n) + i^(n+1)) , where i = sqrt( -1) , equals :

The value of sum_(r=1)^(n)(nP_(r))/(r!)=

lim_(n rarr oo) 1/n^(3) sum_(k=1)^(n) k^(2)x =

The value of sum_(k=1)^(13)(i^(n)+i^(n+1)) , where i=sqrt(-1) equals :

The value of the positve integer n for which the quadratic equation sum_(k=1)^n(x+k-1)(x+k)=10n has solutions alpha and alpha+1 for some alpha is

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If P(x, y) denotes z=x+i y in Argand's plane and |(z-1)/(z+2 i)|=1, t...

    Text Solution

    |

  2. The argument of the complex number sin((6pi)/(5))+i(1+cos.(6pi)/(5)) i...

    Text Solution

    |

  3. The maximum value of n lt 101 such that 1+sum(k=1)^(n)i^(k)=0 is

    Text Solution

    |

  4. The value of (-1+sqrt(3))^(62)+(-1-sqrt(-3))^(62) is

    Text Solution

    |

  5. All complex number z which satisfy the equation |(z-6 i)/(z+6 i)|=1 li...

    Text Solution

    |

  6. If z is a complex number with |z|=1 and z+(1)/(z)=x+iy, then xy=

    Text Solution

    |

  7. The real part of log log i is

    Text Solution

    |

  8. ((-1+i sqrt(3))/(2))^(50)+((-1-i sqrt(3))/(2))^(50)=

    Text Solution

    |

  9. Among the complex numbers, z satisfying |z+1-i| le 1, the number havin...

    Text Solution

    |

  10. If |z+4| le 3, then the maximum value of |z+1| is

    Text Solution

    |

  11. If z(1)=sqrt(3)-i, z(2)=1+i sqrt(3), then amp(z(1)+z(2))=

    Text Solution

    |

  12. If x(r)=cos. (pi)/(2^(r))+ isin. (pi)/(2^(r)), then x(1)x(2)x(3)....oo...

    Text Solution

    |

  13. The product of the values of (cos ((pi)/(3))+i sin( (pi)/(3)))^(3 / 4)...

    Text Solution

    |

  14. The inequality |z-4|lt|z-2| represents the region given by

    Text Solution

    |

  15. If z=x+i y is a variable complex number such that arg ((z-1)/(z+1))=(p...

    Text Solution

    |

  16. If |z+4| le 3, then the maximum value of |z+1| is

    Text Solution

    |

  17. The conjugate of a complex number is (1)/(i-1). Then the complex numbe...

    Text Solution

    |

  18. If |z-(4)/(z)|=2 then the maximum value of |z| is

    Text Solution

    |

  19. If alpha and beta are the root of the equation x^(2)-x+1=0 then alpha...

    Text Solution

    |

  20. The number of complex numbers z such that |z-1|=|z+1|=|z-i| equals

    Text Solution

    |