Home
Class 12
MATHS
The complex number (1+2i)/(1-i) lies in...

The complex number `(1+2i)/(1-i)` lies in

A

fourth quadrant

B

first quadrant

C

second quadrant

D

third quadrant

Text Solution

Verified by Experts

The correct Answer is:
C
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

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

If z_(1)=sqrt(3)+i sqrt(3) and z_(2)=sqrt(3)+i then the complex number ((z_(1))/(z_(2))) lies in the

The modulus and principal argument of the complex number (1 + 2i)/(1 - (1- i)^(2)) are , respectively

The conjugate of the complex number (1+i)^(3)+(1)/(i) is

Express the complex number (1-i) -( -1+ 6i ) in a + ib form

(iii) Find the modulus and argument of the complex numbers. (a) (1+i)/(1-i) , (b) 1/(1+i)

Represent the complex number Z = (1)/(1 + i) in the polar form.

Let omega be the complex number cos (2 pi)/(3)+i sin (2 pi)/(3) . Then the number of distinct complex number z satisfying [[z+1,omega,omega^(2)],[omega,z+omega^2,1],[omega^(2),1,z+omega]] = 0 is equal to

If the complex number (1-i sin theta)/(1+2 i sin theta) is purely imaginary, then the principal value of theta is

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If the cube root of unity are 1,omega,omega^(2), then the roots of the...

    Text Solution

    |

  2. If z is a complex number such that z=-bar(z) then

    Text Solution

    |

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

    Text Solution

    |

  4. If P is the point in the Argand diagrma correspoinding to the complex ...

    Text Solution

    |

  5. The smallest positive integral value of ' n ' such that [(1+sin (pi)...

    Text Solution

    |

  6. The least positive integer n, for which ((1+i)^(n))/((1-i)^(n-2))is po...

    Text Solution

    |

  7. If x+i y=(-1+i sqrt(3))^(2010), then x=

    Text Solution

    |

  8. The value of |(1+i sqrt(3))/((1+(1)/(i+1))^(2))|=

    Text Solution

    |

  9. If omega is an imaginary cube root of unity ,then the value of (1-omeg...

    Text Solution

    |

  10. If P(x, y) denotes z=x+i y in Argand's plane and |(z-1)/(z+2 i)|=1, t...

    Text Solution

    |

  11. The argument of the complex number sin((6pi)/(5))+i(1+cos.(6pi)/(5)) i...

    Text Solution

    |

  12. The maximum value of n lt 101 such that 1+sum(k=1)^(n)i^(k)=0 is

    Text Solution

    |

  13. The value of (-1+sqrt(3))^(62)+(-1-sqrt(-3))^(62) is

    Text Solution

    |

  14. All complex number z which satisfy the equation |(z-6 i)/(z+6 i)|=1 li...

    Text Solution

    |

  15. If z is a complex number with |z|=1 and z+(1)/(z)=x+iy, then xy=

    Text Solution

    |

  16. The real part of log log i is

    Text Solution

    |

  17. ((-1+i sqrt(3))/(2))^(50)+((-1-i sqrt(3))/(2))^(50)=

    Text Solution

    |

  18. Among the complex numbers, z satisfying |z+1-i| le 1, the number havin...

    Text Solution

    |

  19. If |z+4| le 3, then the maximum value of |z+1| is

    Text Solution

    |

  20. If z(1)=sqrt(3)-i, z(2)=1+i sqrt(3), then amp(z(1)+z(2))=

    Text Solution

    |