Home
Class 12
MATHS
Find the number of 15^(th)roots of unity...

Find the number of `15^(th)`roots of unity, which are also `25^(th)` roots of unity .

Text Solution

Verified by Experts

The correct Answer is:
5
Promotional Banner

Topper's Solved these Questions

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|7 Videos
  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise EXERCISE -I|10 Videos
  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise EXERCISE - 6 (SHORT ANSWER QUESTIONS)|24 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 number of common roots of 15th and of 25th roots of unity are

Find the nature of the roots of 4x^(2)-20x+25=0

Find the nature of the roots of the following equation, without finding the roots. 9x^(2)-30x+25=0

If the cube roots of unity are 1,omega,omega^(2) then the roots of the equation (x-1)^(3)+8=0 are

If the cube roots of unity are 1 , omega , omega^(2) , then find the roots of the equation ( x - 1)^(3) + 8 = 0 .

Find a quadratic equation for which the sum of the roots is 7 and the sum of the squares of the roots is 25.

The quadratic equation for which the sum of the roots is 7 and the sum of the squares of the roots is 25 is

AAKASH SERIES-DEMOIVRE'S THEOREM-EXERCISE - 6 (LONG ANSWER QUESTIONS)
  1. If n is a positive integer, show that ( P + iQ)^(1//n) + ( P - iQ)^...

    Text Solution

    |

  2. If n is an integer then show that (1 + cos theta + i sin theta)^(n...

    Text Solution

    |

  3. If alpha, beta are the roots of the equation x^(2) - 2x + 4 = 0 the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. If cos alpha + cos beta + cos gamma = 0 = sin alpha + sin beta + ...

    Text Solution

    |

  7. If cos alpha + cos beta + cos gamma = 0 = sin alpha + sin beta + ...

    Text Solution

    |

  8. If cos alpha + cos beta + cos gamma = 0 = sin alpha + sin beta + ...

    Text Solution

    |

  9. If cos alpha + cos beta + cos gamma = 0 sin alpha + sin beta + sin g...

    Text Solution

    |

  10. Solve the following equations. x^(4) - 1 = 0

    Text Solution

    |

  11. Solve the following equations. x^(5) + 1 = 0

    Text Solution

    |

  12. Solve the following equations. x^(4) + 1 = 0

    Text Solution

    |

  13. Solve the following equations x^(11)-x^7+x^4-1=0

    Text Solution

    |

  14. If ( 1 + x ) ^(n) = a(0) + a (1) x + a(2) x^(2) + ………. + a(n)x^(n...

    Text Solution

    |

  15. If ( 1 + x ) ^(n) = a(0) + a (1) x + a(2) x^(2) + ………. + a(n)x^(n...

    Text Solution

    |

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

    Text Solution

    |

  17. Find the number of 15^(th)roots of unity, which are also 25^(th) roots...

    Text Solution

    |

  18. If z^(2) + z + 1 = 0, where z is a complex number , prove that ( z...

    Text Solution

    |

  19. If 1,alpha,alpha^2,alpha^3,…,alpha^(n-1) be the n^(th) roots of unity,...

    Text Solution

    |

  20. Prove the sum of 99t^(th) powers of the roots of the equation x^7-1 = ...

    Text Solution

    |