Home
Class 12
MATHS
If 2x=-1+sqrt(3)i, then the value of (1-...

If `2x=-1+sqrt(3)i`, then the value of `(1-x^(2)+x)^(6)-(1-x+x^(2))^(6)=`

A

0

B

64

C

-64

D

32

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos
  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

Similar Questions

Explore conceptually related problems

If 2 x =-1 + I sqrt(3) then the value of (1-x^(2) +x)^(6) - (1-x+x^(2))^(6)=

Evaluate int( x^2)/( 1-x^6)

The value of int e^(x)(2-x^(2))/((1-x)sqrt(1-x^(2))) dx =

The least value of (x+2)/(2 x^(2)+3 x+6) is

If x,y,z in R , then the value of determinant |((5^(x)+5^(-x))^(2) , (5^(x)-5^(-x))^(2),1),((6^(x)+6^(-x))^(2),(6^(x)-6^(-x))^(2), 1),((7^(x)+7^(-x))^(2),(7^(x)-7^(-x))^(2),1)| is

Given 0 le x le 1/2 then the value of tan[sin^(-1){(x)/(sqrt(2))+(sqrt(1-x^(2)))/(sqrt(2))}-sin^(-1)x] is

Given 0 le x le (1)/(2) then the value of tan[sin^(-1){(x)/(sqrt(2)) + sqrt(1-x^(2))/(sqrt(2))}-sin^(-1)x] is

Let S(x)=1+x-x^(2)-x^(3)+x^(4)+x^(5)-x^(6)-x^(7)+"........+"oo , where 0ltxlt1 . If S(x)=(sqrt(2)+1)/(2) , then the value of (x+1)^(2) is

Find the value of x if, |(2,4),(5,1)| = |(2x, 4),(6, x)|

The value of lim_(x rarr 2) (e^(3x-6) -1)/(sin(2-x)) is

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. The modulus and amplitude of (1+2i)/(1-(1-i)^(2)) are respectively

    Text Solution

    |

  2. The complex number ((-sqrt(3)+3i)(1-i))/((3+sqrt(3)i)(i)(sqrt(3)+sqrt(...

    Text Solution

    |

  3. If 2x=-1+sqrt(3)i, then the value of (1-x^(2)+x)^(6)-(1-x+x^(2))^(6)=

    Text Solution

    |

  4. The modulus of amplitude of (1+i sqrt(3))^(8) are respectively

    Text Solution

    |

  5. The conjugate of (3-2 i)/(5+7 i) is

    Text Solution

    |

  6. If x^(2)-x+1=0 then the value of sum(n=1)^(5)(x^(n)+(1)/(x^(n)))^(2) ...

    Text Solution

    |

  7. The conjugate of the complex number (1 + i)^(2)/(1-i) is

    Text Solution

    |

  8. The real and imaginary part of log (e)(1+sqrt(3) i) are

    Text Solution

    |

  9. The amplitude of "sin"(pi)/(5)+i(1-"cos"(pi)/(5)) is

    Text Solution

    |

  10. Let z and w be two non-zero complex numbers such that |z|=|w| and arg....

    Text Solution

    |

  11. The locus of the centre of a circle which touches the circles |z-z(1)|...

    Text Solution

    |

  12. Let z(1) and z(2) be two roots of the equation z^(2)+az+b=0, z being c...

    Text Solution

    |

  13. If z and w are two non-zero complex numbers such that |zw|=1 and arg(z...

    Text Solution

    |

  14. If ((1+i)/(1-i))^(x)=1, then x=

    Text Solution

    |

  15. If 1, omega, omega^(2) are the cube roots of unity, then [[1, omega^...

    Text Solution

    |

  16. Let z,w be complex numbers such that barz+ibarw=0 and arg zw=pi. Then ...

    Text Solution

    |

  17. If z=x-i y and z^(1 / 3)=p+i q then ((x)/(p)+(y)/(q)) div(p^(2)+q^(...

    Text Solution

    |

  18. If |z^(2)-1|=|z|^(2)+1, then z lies on :

    Text Solution

    |

  19. If the cube root of unity are 1,omega,omega^(2), then the roots of the...

    Text Solution

    |

  20. If omega=(z)/(z-(i)(3)) and |omega|=1, the z lies on

    Text Solution

    |