Home
Class 12
MATHS
If sqrtx+(1)/(sqrt(x))=2costheta then x^...

If `sqrtx+(1)/(sqrt(x))=2costheta` then `x^(6)+x^(-6)=`

A

`2 cos 12 theta`

B

`2 cos 6 theta`

C

`2 sin 3 theta`

D

`2 cos 3 theta`

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

int (dx)/(2sqrtx(1+x)) dx =

int (dx)/(x sqrt(x^(6)-16))=

int(a^(sqrtx))/(2sqrt(x))dx is :

int(sqrt(x) - 1/(sqrtx))^(2) dx .

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

If g(x) = 1+sqrtx and f(g(x))=3+2sqrtx+x then f(x) =

Suppose that log_10(x-2)+log_10y=0 sqrtx+sqrt(y-2)=sqrt(x+y) . If x^(2t^2-6)+y^(6-2t^2)=6 ,, the value of t_1,t_2,t_3,t_4 is

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

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If omega=-(1)/(2)+i (sqrt(3))/(2), the value of [[1, omega, omega^(2)...

    Text Solution

    |

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

    Text Solution

    |

  3. If sqrtx+(1)/(sqrt(x))=2costheta then x^(6)+x^(-6)=

    Text Solution

    |

  4. Which of the following is a fourth root of

    Text Solution

    |

  5. If omega=(-1+i sqrt(3))/(2) then (3+omega+3 omega^(2))^(4)=

    Text Solution

    |

  6. If x+(1)/(x)=2cos alpha then x^(n)+(1)/(x^(n))=

    Text Solution

    |

  7. The smallest positive integer for which(1 + i)^(2n)=(1 -l)^(2n) is

    Text Solution

    |

  8. The real part of (1)/(1+cos theta+i sin theta) is

    Text Solution

    |

  9. The modulus and amplitude of (1+2i)/(1-(1-i)^(2)) are respectively

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |