Home
Class 11
MATHS
If z=iloge(2-sqrt3) then the value of co...

If `z=ilog_e(2-sqrt3)` then the value of cosz

A

2

B

(-2)

C

2i

D

(-2i)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos
  • COMPLEX NUMBERS

    PATHFINDER|Exercise QUESTION BANK|67 Videos

Similar Questions

Explore conceptually related problems

If z =(-2)/(1+sqrt3i), then the value of arg(z) is-

If z=(sqrt3-i)/2 , then Find the. value of z^33

If Z=(sqrt3+i)/2 ,then the value of z^69 is

If x = 1/(2-sqrt3) then find the value of (x^(3) -2x^(2) -7x+2)

If x = 1/(2-sqrt3) then find the value of (x^(3) -2x^2 - 7x +4)

lf z = ilog(2-sqrt(3)) , then cos z =

If x(2+sqrt3)=y(2-sqrt3)=1 , then the value of 1/(x+1)+1/(y+1) is :

If a (2 + sqrt3) = b ( 2-sqrt3) =1 then find the value of 1/(a^(2) +1) + 1/(b^2 +1)

x + y = (4)/(sqrt3) and x - y = (2)/(sqrt3) , then the value of 4xy is

If x = 2 + sqrt3 , then the value of x + (1)/(x) is

PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. If abs(z-2-i)=abszabssin(pi/4-argz) then locus of z is

    Text Solution

    |

  2. If z=3/(2+costheta+isintheta) then show that z lies on a circle in the...

    Text Solution

    |

  3. If z=iloge(2-sqrt3) then the value of cosz

    Text Solution

    |

  4. If alpha is the nth root of unity then 1+2alpha+3alpha^2+….to n terms ...

    Text Solution

    |

  5. If a=cosalpha+isinalpha , b=cosbeta+isinbeta , c=cosgamma+isingamma an...

    Text Solution

    |

  6. If alpha=cos((8pi)/11+isin((8pi)/11 then Re(alpha+alpha^2+alpha^3+alph...

    Text Solution

    |

  7. If z be any complex number such that abs(3z-2)+abs(3z+2)=4 then locus ...

    Text Solution

    |

  8. x^(3m)+x^(3n-1)+x^(3r-2) where m,n,r in N is divisible by

    Text Solution

    |

  9. A fourth root of -1 is

    Text Solution

    |

  10. If z1=a+ib and z2=c+id are complex numbers such that abs(z1)=abs(z2)=1...

    Text Solution

    |

  11. Let z1 and z2 be complex numbers such that z1 nez2 and absz1=absz2 if ...

    Text Solution

    |

  12. If (x+2)^3-27=0 then a value of x is

    Text Solution

    |

  13. If absomega=1 then the set of points z=omega+1/omega is contained in o...

    Text Solution

    |

  14. If z1 lies on absz=1 and z2 lies on absz=2 then

    Text Solution

    |

  15. IfA(z1),B(z2),C(z3) and D(z4) be the vertices of the square ABCD then

    Text Solution

    |

  16. If z1 and z2 are non zero complex numbers such that abs(z1-z2)=absz1+a...

    Text Solution

    |

  17. The reflection of the complex number (2-i)/(3+i) where (i=sqrt(-1)in t...

    Text Solution

    |

  18. If alpha is a complex constant such that alphaz^2+z+baralpha=0 has are...

    Text Solution

    |

  19. Let A,B,C b ethree sets of complex numbers as defined A={z:Im zge 1} ...

    Text Solution

    |

  20. Let A,B,C b ethree sets of complex numbers as defined A={z:Im zge 1} ...

    Text Solution

    |