Home
Class 12
MATHS
IF omega represents a complex cube root ...

IF `omega` represents a complex cube root of unity, then `(1+1/omega)(1+1/omega^2)+(2+1/omega)(2+1/omega^2)+...+(n+1/omega)(n+1/omega^2)=`

A

Both A and R are true R is correct explanation to A

B

Both A and R are true but R is not correct explanation to A

C

A is true R is false

D

A is false R is true

Text Solution

Verified by Experts

The correct Answer is:
A
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

If omega is a complex cube root of unity, then (x+1)(x+omega)(x-omega-1)

If omega is a complex cube root of unity , then (x + 1) ( x + omega) ( x- omega - 1) =

If omega is a complex cube root of unity, then sin[(omega^(10)+omega^(23))pi-(pi)/(4)]

If omega is a complex cube root of unity , then sum_(k = 1)^(6) ( omega^(k) + (1)/(omega^(k)))^(2) =

IF omega is a complex cube root of unity sum_(r=1)^9r(r+1-omega)(r+1-omega^2)=

If omega is a complex cube root of unity, then 225+(3omega+8omega^(2))^(2)+(3omega^(2)+8omega)^(2)

If omega is a complex cube root of unity and A=[(omega,0),(0, omega)] then A^(100)=

AAKASH SERIES-DEMOIVRE'S THEOREM-PRACTICE EXERCISE
  1. 1,alpha1,alpha2,alpha3…..alpha(n-1) are the n^(th) roots of unity and ...

    Text Solution

    |

  2. If 1,alpha,alpha^2,…...,alpha^(n-1) are the n^(th) roots of unity, the...

    Text Solution

    |

  3. A : (1+i)^(6)+(1-i)^(6)=0 R : If n is a positive integer then (1+i)^...

    Text Solution

    |

  4. Assertion (A): If A, B, C are the angles of a triangle such that cos A...

    Text Solution

    |

  5. IF omega represents a complex cube root of unity, then (1+1/omega)(1+1...

    Text Solution

    |

  6. Assertion (A) : If alpha=cos((2pi)/(7))+isin((2pi)/(7)),p=alpha+alpha^...

    Text Solution

    |

  7. If z=(sqrt3-i)/(2) then (i^(101)+z^(101))^(103)=

    Text Solution

    |

  8. The roots of (z-1)^n=i(z+1)^n are plotted on the argand plane they are

    Text Solution

    |

  9. If 'alpha' be the non-real n^(th) roots of unity, then 1+3alpha+5alpha...

    Text Solution

    |

  10. If cos alpha+2cos beta+3cos gamma=sinalpha+2sinbeta+3singamma=0 then s...

    Text Solution

    |

  11. If sin(A+iB)=x+iy then ((x^2)/(sin^2A)-(y^2)/(cos^2A))+((x^2)/(cosh^2B...

    Text Solution

    |

  12. I : sum(k=1)^(6)[sin((2kpi)/(7))-icos((2kpi)/(7))]=i II : sum(r=1)...

    Text Solution

    |

  13. Match the following. {:(Column-I," "Column-II),(I" : "x=costheta...

    Text Solution

    |

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

    Text Solution

    |

  15. I : Value of i^i=e^(-pi/2) II : z=ilog(2+sqrt3) then sinz=2 wh...

    Text Solution

    |

  16. Assertion (A) : (Costheta+iSintheta)^(10)+(Costheta-iSintheta)^(10)=2c...

    Text Solution

    |

  17. The modulus argument form of 1+iTantheta when theta epsilon (pi/2,pi) ...

    Text Solution

    |

  18. If Z=(i^i)^i" where "i=sqrt(-1) then

    Text Solution

    |

  19. If alpha is a non-real and alpha=(1)^(1//5) then the value of 2^(|1+al...

    Text Solution

    |

  20. If (x-1)^4-16=0,then the sum of non-real complex values of x is

    Text Solution

    |