Home
Class 12
MATHS
The common roots of the equation x^(...

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

A

`omega,omega^2`

B

`-omega,-omega^2`

C

`pm omega,pm omega^2`

D

`pm omega^2 ,pm omega^5`

Text Solution

Verified by Experts

The correct Answer is:
C
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

The roots of the equation 4x^2-2sqrt5x+1=0 are

Find the roots of the equation x+(1)/(x)=3, x ne 0

Find the equation whose roots of m times the roots of the equation of x^3 +1/4 x^2 -1/16 x+1/72 =0 and deduce the case when m=12

The number of real roots of the equation e^(x-1)+x-2=0 is

If the roots of the equation 4x^(3)-12x^(2)+11x+k=0 are in arithmetic progression, then k is equal to

Find the polynomial equation whose roots are the translates of the roots of the equation . x^4-x^3-10x^2+4x+24=0 by 2 .

x_1 and x_3 are the roots of the equation Ax ^2 - 4x +1=0 and x_2 and x_4 =0 are the roots of the requation Bx^2 - 6x + 1=0 if x_1 , x_2 , x_3 ,x_4 form a H.P , then (A,B) =

If the roots of the equation 4x^3 -12x^2 +11x +k=0 are in arithmetic progression then k=

AAKASH SERIES-DEMOIVRE'S THEOREM-EXERCISE -II
  1. If x^6+1=0, then x =

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. If A+B+C=180^@ and cis A=x,cis B=y,cis C=z, them xyz=

    Text Solution

    |

  20. p,q,r are distinct cube roots of non-zero complex number z. Let a,b,c ...

    Text Solution

    |