Home
Class 11
MATHS
If i^2=-1, then the value of overset (20...

If `i^2=-1`, then the value of `overset (200) underset (n=1) (sum) i^n` is :

A

50

B

`-50`

C

0

D

100

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE|289 Videos

  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|334 Videos

  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise EXERCISE|85 Videos

Similar Questions

Explore conceptually related problems

The value of overset5 underset(1)sum(n) is:

Find the value of: underset(0)overset(1)intx^2dx

Evaluate : underset (r=1) overset (n) sum ""^nC_r 2^r .

The value of ""^50C_4+ underset (r=1) overset (6) sum ""^(56-r)C_3 is :

The value of C (47, 4) + underset (r=1) overset (5) sum (52-r,3) is:

Prove that underset (r=0) overset (n) sum 3^r ""^nC_r =4^n .

If R_(1) is the circumradius of the pedal triangle of a given triangle ABC, and R_(2) is the circumradius of the pedal triangle of the pedal triangle formed, and so on R_(3), R_(4) ..., then the value of underset( i=1)overset(oo)sum R_(i) , where R (circumradius) of DeltaABC is 5 is

If i=sqrt(-1), the number of values of i^(-n) for a different n inI is

If ((1+i)/(1-i))^n =1 , then the smallest value of n is :

the value of overset(n)underset(r=2)(Simga)(-2)^(r ) |{:( .^(n-2)C_(r-2),,.^(n-2)C_(r-1),,.^(n-2)C_(r)),(-3,,1 ,,1),(2,,-1,,0):}| (n gt 2)

MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
  1. Multiplication of a complex z by i corresponds to :

    Text Solution

    |

  2. If (c+i)/(c-i)= a+ ib, where a, b, c are real, then a^2+ b^2 equals :

    Text Solution

    |

  3. If i^2=-1, then the value of overset (200) underset (n=1) (sum) i^n is...

    Text Solution

    |

  4. If the conjugate of (x + iy) (1-2i) be 1+i, then :

    Text Solution

    |

  5. Mathematical Induction shows that the inequality log (n!) >n/2 holds :

    Text Solution

    |

  6. The inequality n ! > 2^(n-1) is true:

    Text Solution

    |

  7. The number of solutions of the equation z^2+ bar z=0 is :

    Text Solution

    |

  8. If alpha, beta are the roots fo the equation lamda(x^(2)-x)+x+55=0. If...

    Text Solution

    |

  9. The modulus of (1-i)/(3+i)+(4i)/5 is :

    Text Solution

    |

  10. For any complex number z, the minimum value of |z|+|z-1| is :

    Text Solution

    |

  11. If alpha, beta are the roots of x^2-a(x-1)+b=0, then the value of 1/(a...

    Text Solution

    |

  12. The sum of all real roots of the equation |x-2|^(2)+|x-2|-2=0 is

    Text Solution

    |

  13. The quadratic equation whose roots are three times the roots of 3ax^2 ...

    Text Solution

    |

  14. If a, b, c are real, then both the roots of the equation : (x- b) (x-c...

    Text Solution

    |

  15. If x satisfies the inequations 2x- 7 < 11, 3x+4< -5, then x lies in th...

    Text Solution

    |

  16. The set of all real x satisfying the inequality (3-|x|)/(4-|x|) ge0 is...

    Text Solution

    |

  17. If the area of the triangle formed by the points z, z+iz and iz is 50 ...

    Text Solution

    |

  18. The locus of z such that : arg [(1 - 2i)z-2+ 5i] = pi/4 is a:

    Text Solution

    |

  19. If z= sqrt3+i, then the argument of z^2 e^(z-i) is equal to :

    Text Solution

    |

  20. If omega ne 1 and omega^3=1, then : (a omega+b+c omega^2)/(a omega^2+...

    Text Solution

    |