Home
Class 12
MATHS
If 1+x^(2)=sqrt(3)x, then sum(n=1)^(24)(...

If `1+x^(2)=sqrt(3)x`, then `sum_(n=1)^(24)(x^(n)-(1)/(x^(n)))^(2)` equals

A

`48`

B

`-24`

C

`+-48(omega-omega^(2))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Latest Questions from AJEE/JEE examinations|10 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Questions from karnataka CET & COMED|15 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Questions from karnataka CET & COMED|15 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos
  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

If x^(2)-x+1=0 then the value of sum_(n=1)^(5)(x^(n)+(1)/(x^(n)))^(2) is

If x+y=1 , then sum_(r=0)^(n)r^(2)""^(n)C_(r)x^(r)y^(n-r) equals:

Let x_(1),x_(2),x_(3), . . .,x_(k) be the divisors of positive integer ' n ' (including 1 and x ). If x_(1)+x_(2)+ . . .+x_(k)=75 , then sum_(i=1)^(k)(1)/(x_(i)) is equal to:

int (dx)/(x(x^(n)+1)) is equal to :

If y=(x+sqrt(1+x^(2)))^(n) , then (1+x^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx) is

If sum_(i=1)^(2n) sin^(-1) x_i=npi , then sum_(i=1)^(2n) x_i equals :

If y=2^(n+1)+(3)/(x^(n)) , then x^(2)(d^(2)y)/(dx^(2)) is

If sum_(i=1)^(2n) sin^(-1) x_i =npi , then sum_(i=1)^(2n) x_i is equal to :

If 0 lt x lt y , then lim_(n rarroo)(y^(n)+x^(n))^(1/n) is equal to

If sum_(i=1)^(2 n) cos ^(-1) x_(i)=0, then sum_(i=1)^(2 pi) x_(i)=

MODERN PUBLICATION-COMPLEX NUMBERS-Multiple Choice Questions (Level-II)
  1. (cos2theta+isin2theta)^(-5)(cos3theta-isin3theta)^(6)(sintheta-icosthe...

    Text Solution

    |

  2. If z(1)=9y^(2)-4-10ix, z(2)=8y^(2)+20i, where z(1)=z(2) , then z=x+iy ...

    Text Solution

    |

  3. If 1+x^(2)=sqrt(3)x, then sum(n=1)^(24)(x^(n)-(1)/(x^(n)))^(2) equals

    Text Solution

    |

  4. If |z(1)|=|z(2)|=|z(3)|=|z(4)|, then the points representing z(1),z(2)...

    Text Solution

    |

  5. If z(1),z(2),z(3) represent the vertices of an equilateral triangle su...

    Text Solution

    |

  6. If alpha,beta are two complex numbers such that |alpha|=1, |beta|=1, t...

    Text Solution

    |

  7. If ((a+ib)^(2))/(a-ib)-((a-ib)^(2))/(a+ib)=x+iy, then x equals

    Text Solution

    |

  8. If alpha is the nth root of unity then 1+2alpha+3alpha^(2)+..............

    Text Solution

    |

  9. If (pi)/(2) lt alpha lt (3pi)/(2), the modulus and argument form of (1...

    Text Solution

    |

  10. If log(1//2).(|z|^(2)+2|z|+4)/(2|z|^(2)+1) lt 0, then the region trace...

    Text Solution

    |

  11. If z(1),z(2),z(3) are the vertices of an equilateral triangle in the A...

    Text Solution

    |

  12. If alpha,beta and gamma are the roots of x^(3)-3x^(2)+3x+7, where omeg...

    Text Solution

    |

  13. The value of the expression : 2(1+omega)(1+omega^(2))+3(2omega+1)(2o...

    Text Solution

    |

  14. If |ak|< 3, 1 le k le n, then all complex numbers z satisfying equatio...

    Text Solution

    |

  15. If z(1),z(2),z(3) are the affixes of the vertices of a triangle having...

    Text Solution

    |

  16. If x=costheta+isintheta, y=cosphi+isinphi, z=cosPsi+isinPsi and (y)/(z...

    Text Solution

    |

  17. " If Z\inC satisfies |z|>=3 then the least value of |z+(1)/(z)| is

    Text Solution

    |

  18. tan(ilog((a+ib)/(a-ib)))=

    Text Solution

    |

  19. If z(1)=9y^(2)-4-10ix, z(2)=8y^(2)+20i, where z(1)=barz(2) , then z=x+...

    Text Solution

    |

  20. The value of sum(k=1)^(13)(i^(n)+i^(n+1)), where i=sqrt(-1) equals :

    Text Solution

    |