Home
Class 12
MATHS
(sqrt3+i)^7+(sqrt3-i)^7=...

`(sqrt3+i)^7+(sqrt3-i)^7=`

A

`128sqrt3`

B

`256sqrt3`

C

`-128sqrt3`

D

`-256sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise EXERCISE -II|58 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

Similar Questions

Explore conceptually related problems

Assertion (A) : (sqrt3+i)^6+(sqrt3-i)^6=-128 Reason (R) : If n is a positive integer then (sqrt3+i)^n+(sqrt3-i)^n=2^(n+1)cos(npi)/(6)

sqrt(-3-4i)=

If n is a positive niteger, then (sqrt3+i)^(n)+(sqrt3-i)^(n)

The ascending order of the values of z_1(1+i)^4+(1-i)^4, z_2=(sqrt3+i)^(12)+(sqrt3-i)^(12), z_3=(1+isqrt3)^(9)+(1-isqrt3)^9

When n=8,(sqrt(3)+i)^(n)+(sqrt(3)-i)^(n)=

Classify the following numbers as rational or irrational . i) 5-sqrt(3) ii) sqrt(3)+sqrt(2) iii) (sqrt(2)-2)^(2) iv) (2sqrt(7))/(7sqrt(7))

Imaginary part of (sqrt3-i)^(2016)+(-sqrt3-i)^(2019) is

(sqrt3+i)^(12) =

The amplitude of (1+sqrt(3)i)/(sqrt(3)+i) is

AAKASH SERIES-DEMOIVRE'S THEOREM-PRACTICE EXERCISE
  1. If n is a positive integer, then (1+i)^n+(1-i)^n=

    Text Solution

    |

  2. Assertion (A) : (sqrt3+i)^6+(sqrt3-i)^6=-128 Reason (R) : If n is ...

    Text Solution

    |

  3. (sqrt3+i)^7+(sqrt3-i)^7=

    Text Solution

    |

  4. (cos""(pi)/(6)+isin""(pi)/(6))^(1//2)+(cos""(pi)/(6)-isin""(pi)/(6))^(...

    Text Solution

    |

  5. One value of (1+isqrt3)^(3//4)+(1-isqrt3)^(3//4) is equal to

    Text Solution

    |

  6. One of the value of [cos(pi//6)-isin(pi//6)]^(11//2)/[cos(pi//6)+isin(...

    Text Solution

    |

  7. If x=cosalpha+isinalpha,y=cosbeta+isinbeta," then "(x)/(y)+(y)/(x)

    Text Solution

    |

  8. If x=cisalpha,y=cisbeta" then " x^3y^4-(1)/(x^3y^4)=

    Text Solution

    |

  9. If a,b and c are in G.P then (b - a)/(b - c) + (b + a)/(b + c)

    Text Solution

    |

  10. cis(pi)/(10).cis(2pi)/(10).cis(3pi)/(10).cis(4pi)/(10)=

    Text Solution

    |

  11. If xn=cos(pi/2^n)+isin(pi/2^n), then x1 x2 x3......infinity

    Text Solution

    |

  12. If x(n)=cos((pi)/(4^(n)))+i sin ((pi)/(4^(n))), then x(1), x(2), x(3)....

    Text Solution

    |

  13. The continued product of the four values of (1-isqrt3)^(3//4) is

    Text Solution

    |

  14. The continued product of all values of root(5)(4) is

    Text Solution

    |

  15. sum(r=1)^(8)[sin(2pir//9)+icos(2pir//9)]=

    Text Solution

    |

  16. The values of sum(m=1)^(10)[sin(2pim//11)-icos(2pim//11)] is

    Text Solution

    |

  17. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then sin3alph...

    Text Solution

    |

  18. If cos alpha+cos beta+cos gamma=0 & sin alpha +sin beta +sin gamma=0. ...

    Text Solution

    |

  19. If cos alpha+cosbeta+cosgamma = 0 = sinalpha + sinbeta + singamma then...

    Text Solution

    |

  20. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then sin(2alp...

    Text Solution

    |