Home
Class 11
MATHS
The value of 1+i^2+i^4+i^6+....+i^16is...

The value of `1+i^2+i^4+i^6+....+i^16`is

A

a)-1

B

b)1

C

c)0

D

d)2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 11

    UNITED BOOK HOUSE|Exercise EXERCISE|46 Videos
  • MODEL QUESTION PAPERS-SET 13

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos

Similar Questions

Explore conceptually related problems

The value of i^9+1/i^5 is

Find the value of 1+i^2+i^4+i^6+i^8

Find the value of 1+i^2+i^4+i^6++i^(2n)

The value of i^100+i^101+i^102+i^103

The value of [(1+i)^(6) +(1-i) ^(6)] is-

If i=sqrt(-1) then the value of 1+i+i^2+i^3+i^4 will be

Find the value of (1+ i)^(6) + (1-i)^(6)

State which of the following is the value of (1+i+2i^2+i^3+i^4) [given i=sqrt-1]

The value of (1-i)^(-2)-(1+i)^(-2) is

The value of (i^(592)+i^(590)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(578)+i^(576)+i^(574)) will be

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 12-EXERCISE
  1. Which of the following sets have only one subset

    Text Solution

    |

  2. The value of 1+i^2+i^4+i^6+....+i^16is

    Text Solution

    |

  3. No of diagonals of a 12 sided polygon are

    Text Solution

    |

  4. If the sum of theree cosecutive numbers of an AP is 45, then the middl...

    Text Solution

    |

  5. The acute angle between the two lines' 7x - 4y = 0 and 3x -11y = 2 wil...

    Text Solution

    |

  6. The circle x^2+y^2-2x-2y+k=0represents a point circle when k.=

    Text Solution

    |

  7. The value of lim(xrarr3)(sqrt(x+3)+sqrt(x-3))/xis

    Text Solution

    |

  8. If f(x)=2x^3-3x^2+4x-2,then the value of f'(3) is

    Text Solution

    |

  9. Two dice are thrown at a time.The probability that the sum of two numb...

    Text Solution

    |

  10. The median of 1st 2013 natural number is

    Text Solution

    |

  11. For any two sets A and B, if A cupB = A cap B, then show that A = B.

    Text Solution

    |

  12. A = {1, 2, 3, 4, 5}, B = {1, 3, 4} and the relation R from set A to se...

    Text Solution

    |

  13. Show that tan67^@-tan22^@-tan67^@tan22^@=1

    Text Solution

    |

  14. In /\ABC, if angleC = 90^@,. then find the value of tan A + tan B.

    Text Solution

    |

  15. If ^nPr=120 ^nC(n-r) , find the value of r.

    Text Solution

    |

  16. x.and y are- real and if x + iy.=5/(-3+4i),find the value of x and y.

    Text Solution

    |

  17. Find the constant term of the expansion of (a^3-1/a^2)^15

    Text Solution

    |

  18. If the P th term of an AP is (3P - 5), then find the common difference...

    Text Solution

    |

  19. Find the equation of a straight fine passes through the middle ofthe s...

    Text Solution

    |

  20. Find the ratio in which the plane xy divides the join of A(2, 3. 5) an...

    Text Solution

    |