Home
Class 12
MATHS
If i^(2)=-1 then i+i^(2)+i^(3)+…..... ....

If ` i^(2)=-1` then `i+i^(2)+i^(3)+….....` . upto 1000 terms is equal to

A

1

B

-1

C

i

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
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

If A^(2) - 3 A + 2I = 0, then A is equal to

i^(2)+i^(4)+i^(6)+ldots . .(2 n+1) terms =

If A is a square matrix such that A^(2) = I , then : (A-I)^(3) +(A+I)^(3) - 7A is equal to :

If A^(2)-A+I=O , then A^(-1) is equal to

Find the sum of i] 41, 36, 31, ....... upto 10 terms ii] -26, -24, -22, ..... upto 36 terms.

If sum_(i=1)^(2n) sin^(-1) x_i =npi , then sum_(i=1)^(2n) x_i is equal to :

If A is a square matrix of order 3 and I is an ldentity matrix of order 3 such that A^(3) - 2A^(2) - A + 2I =0, then A is equal to

If Z= ((sqrt3 +1)^(3) (3i + 4)^(2))/((8+ 6i)^(2)) then |Z| is equal to

If A is square matrix such that A^(2)=A , then (I+A)^(3)-7A is equal to

If z = ((sqrt(3)+i)^(3)(3i+4)^(2))/((8+6i)^(2)) , then |z| is equal to

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If omega is a non real cube root of unity then (a+b)(a+b omega)(a+b om...

    Text Solution

    |

  2. If sqrt(a+i b)=x+i y, then a possible value of sqrt(a-i b) is

    Text Solution

    |

  3. If i^(2)=-1 then i+i^(2)+i^(3)+…..... . upto 1000 terms is equal to

    Text Solution

    |

  4. If omega is a complex cube root of unity then the value of (p++q omega...

    Text Solution

    |

  5. If alpha, beta and gamma are angles such that tan alpha+tan beta+tan g...

    Text Solution

    |

  6. The polar form of the complex number (i^(25))^(3) is

    Text Solution

    |

  7. For what value of x and y, the complex numbers. 9 y^(2)-4-10 x i and ...

    Text Solution

    |

  8. The point represented by the complex number 2-i is rotated about origi...

    Text Solution

    |

  9. The locus of the point z satisfying arg ((z-1)/(z+1))=k, (where k is n...

    Text Solution

    |

  10. Let omega is an imaginary cube root of unity then the value of 2(1+o...

    Text Solution

    |

  11. If z=(-2)/(1+sqrt(3) i), then the value of arg z is

    Text Solution

    |

  12. If z(1), z(2), z(3) be vertices of an equilateral triangle occurring ...

    Text Solution

    |

  13. If n is a positive integer, then (1+i)^(n)+(1-i)^(n)=

    Text Solution

    |

  14. If omega is a complex cube root of unity then the value of (p++q omega...

    Text Solution

    |

  15. If z is a complex number in the argand plane, then the equation |z-2|+...

    Text Solution

    |

  16. Cube roots of unity are in

    Text Solution

    |

  17. If x=a+b, y=a omega+b omega^(2), z=a omega^(2)+b omega, then x y z=

    Text Solution

    |

  18. The argument of (1-i sqrt(3))/(1+i sqrt(3))=

    Text Solution

    |

  19. If omega is the cube root of unity of the equation z^(3)=1, then the v...

    Text Solution

    |

  20. The reciprocal of 3+i sqrt(7) is

    Text Solution

    |