Home
Class 12
MATHS
If z is purely imaginary then and Im(z)g...

If z is purely imaginary then and `Im(z)gt0`, then `amp(z)=`

A

` pi`

B

`(pi)/(2)`

C

0

D

`-(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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 (z-1)/(z+1) is purely imaginary, then |z|=

If z_(1) and z_(2) are complex number and (z_(1))/(z_(2)) is purely imaginary then |((z1+z2)/(z1-z2))|=

If alpha is an imaginary root of the equation z^(n)-1=0 then 1+alpha+alpha^(2)+….. .+alpha^(n-1)=

If z ne 0 and Re z=0 then

If z_(1),z_(2),z_(3) are the vertices of an equilateral triangle in the Argand plane, then (z_(1)^(2)+z_(2)^(2)+z_(3)^(3))=lambda(z_(1)z_(2)+z_(2)z_(3)+z_(3)z_(1)) holds true when :

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

If arg (z)lttheta , then arg (-z)-arg (z)=

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

If z is a complex number such that |z| gt 2 then the minimum value of |z+1/2|

If the imaginary part of (2z+1)/(iz+1) is -2 , then the locus of the point representing z in the complex plane is

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. The argument of (1-i sqrt(3))/(1+i sqrt(3))=

    Text Solution

    |

  2. Let z(1) and z(2) be two complex numbers such that |z(1)+z(2)|^(2)=|z(...

    Text Solution

    |

  3. If z is purely imaginary then and Im(z)gt0, then amp(z)=

    Text Solution

    |

  4. If n is an odd integer, then (1+i)^(6 n)+(1-i)^(6 n) is equal to

    Text Solution

    |

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

    Text Solution

    |

  6. Number of solutions of the equation z^(2)+|z|^(2)=0 is

    Text Solution

    |

  7. The equation |z+1-i|=|z-1+i| represents a

    Text Solution

    |

  8. The area of the triangle on the complex plane formed by the complex nu...

    Text Solution

    |

  9. If the complex number z=x+ iy satisfies the condition |z+1|=1, then z ...

    Text Solution

    |

  10. 1+i^(2)+i^(4)+i^(6)+... .+i^(2 n)=

    Text Solution

    |

  11. If f(z)=(7-z)/(1-z^(2)), where z=1+2 i, then |f(z)| is

    Text Solution

    |

  12. The value of arg (x) when xlt0 is

    Text Solution

    |

  13. The real value of thetafor which the expression is (1+icos theta)/(1...

    Text Solution

    |

  14. |z(1)+z(2)|=|z(1)|+|z(2)| is possible if

    Text Solution

    |

  15. If z is a complex number then

    Text Solution

    |

  16. The complex number z, which satisfies the condition |(1+z)/(1-z)|=1 li...

    Text Solution

    |

  17. If a+i b=c+i d, then

    Text Solution

    |

  18. Let x, y in R then x+i y is a non real complex number is

    Text Solution

    |

  19. Let P be a point represented by the complex number Z. Rotate OP (O is ...

    Text Solution

    |

  20. Which of the following is correct for any two complex numbers z(1) and...

    Text Solution

    |