Home
Class 12
MATHS
If x^6+1=0, then x =...

If `x^6+1=0`, then x =

A

`cis(((2k+1)pi)/(6)),k=0,1,2,3,4,5`

B

`cis(((2k-1)pi)/(6)),k=0,1,2,3,4,5`

C

`cis(((3k+1)pi)/(6)),k=0,1,2,3,4,5`

D

`cis(((3k-1)pi)/(6)),k=0,1,2,3,4,5`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise EXERCISE -I|10 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

IF alpha, beta are the roots of 9x^2+6x+1=0 then the equation with the roots 1// alpha , 1//beta is

If -1, 2 , alpha are roots of 2x^(3) + x^(2) - 7x - 6 = 0 then alpha =

If [(x+1,-3,4),(-5,x+2,2),(4,1,x-6)]=0 then x=

Solve (x^(2)+(1)/(x^(2)))-5(x+(1)/(x))+6=0," when "x ne0

Solve the equation 6x^3 -11x^2 +6x -1=0 the roots being in H.P

If 1,1, alpha are the roots of x ^(3) -6x ^(2) + 9x- 4 =0 then find 'alpha '.

If A/(x-1)+B/(x+1)=(6x)/(x^(2)-1) , then A =

AAKASH SERIES-DEMOIVRE'S THEOREM-EXERCISE -II
  1. If cosalpha+coabeta+cosgamma=0=sinalpha+sinbeta+singamma then cos(alph...

    Text Solution

    |

  2. If A+B+C=pi and cosA+cosB+cosC=0=sinA+sinB+sinC then cos3A+cos3B+cos3C...

    Text Solution

    |

  3. If x^6+1=0, then x =

    Text Solution

    |

  4. find the roots x^(11)-x^7+x^4-1=0

    Text Solution

    |

  5. The number of common roots of 15th and of 25th roots of unity are

    Text Solution

    |

  6. The common roots of the equation x^(12)-1=0,x^4+x^2+1=0 are

    Text Solution

    |

  7. The product of all nth roots of unity (n gt 1) is

    Text Solution

    |

  8. The product of the distinct (2n)^(th) roots 1+isqrt3 is

    Text Solution

    |

  9. If alpha is a non real root of x^6=1 then (alpha^5+alpha^3+alpha+1)/(a...

    Text Solution

    |

  10. If 1,alpha1,alpha2,…..alpha(n-1) are the n^(th) roots of unity then (1...

    Text Solution

    |

  11. If 1,alpha1,alpha2,…..alpha(n-1) are the n^(th) roots of unity and n i...

    Text Solution

    |

  12. If alpha is an n^(th) root of unity then prove that 1+2alpha+3alpha^2+...

    Text Solution

    |

  13. Statement-I : ((costheta+isintheta)^5(cos3theta-isin3theta)^6)/((co...

    Text Solution

    |

  14. Statement-I : If xn=cos(pi//2^n)+isin (pi//2^n) then x1.x2.x3…..=-...

    Text Solution

    |

  15. Statement-I : If e^(itheta)=costheta+isintheta then for the DeltaABCe^...

    Text Solution

    |

  16. The ascending order of the values of z1=(1+i)^4,z2=(sqrt3+i)^(12),...

    Text Solution

    |

  17. The descending order of the values of z1=((sqrt3)/(2)i+1/2)^6,z2=(...

    Text Solution

    |

  18. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma, then match t...

    Text Solution

    |

  19. Match the following. {:("I) "(i)^i=,"a) "ipi//2),("II) "logei=,"b)...

    Text Solution

    |

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

    Text Solution

    |