Home
Class 12
MATHS
If arg(z) lt 0, then find arg(-z) -ar...

If ` arg(z) lt 0, ` then find ` arg(-z) -arg(z)`.

A

`pi`

B

`-pi`

C

`- (pi)/(2)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise EXERCISE LEVEL 2|1 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise EXERCISE LEVEL 3|1 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise EXERCISE|20 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos

Similar Questions

Explore conceptually related problems

arg(bar(z))+arg(-z)={{:(pi",","if arg (z) "lt 0),(-pi",", "if arg (z) "gt 0):},"where" -pi lt arg(z) le pi . If arg(z) gt 0 , then arg (-z)-arg(z) is equal to

arg(bar(z))=-arg(z)

If arg (z)<0, then underset(pi)/(2)arg(-z)-arg(z) equals pi(b)-pi(d)-(pi)/(2)(d)(pi)/(2)

If z is purely imaginary and Im (z) lt 0 , then arg(i bar(z)) + arg(z) is equal to

If arg(z)<0 then arg(-z)-arg(z)=(1)pi(2)-pi(3)-(pi)/(2)(4)(pi)/(2)

arg(bar(z))+arg(-z)={{:(pi",","if arg (z) "lt 0),(-pi",", "if arg (z) "gt 0):},"where" -pi lt arg(z) le pi . If arga(4z_(1))-arg(5z_(2))=pi, " then " abs(z_(1)/z_(2)) is equal to

MCGROW HILL PUBLICATION-COMPLEX NUMBERS -EXERCISE LEVEL 1
  1. If omega is an imaginary cube root of unity, then (1-omega-omega^(2))^...

    Text Solution

    |

  2. If |{:(6i,-3i,1),(4,3i,1),(20,3,i):}|=x+iy,i=sqrt(-1) then

    Text Solution

    |

  3. If arg(z) lt 0, then find arg(-z) -arg(z).

    Text Solution

    |

  4. If z1,z2, z3 are complex numbers such that |z1|=|z2|=|z3|=|1/z1+1/z2+1...

    Text Solution

    |

  5. Let z1 and z2 be nth roots of unity which subtend a right angle at the...

    Text Solution

    |

  6. The complex number z1,z2 and z3 satisfying (z1 - z3)/(z2 - z3) = ( 1 -...

    Text Solution

    |

  7. Let omega = - (1)/(2) + i (sqrt3)/(2), then the value of the determina...

    Text Solution

    |

  8. The inequality |z-i| lt |z + i| represents the region

    Text Solution

    |

  9. Show that if iz^3+z^2-z+i=0, then |z|=1

    Text Solution

    |

  10. If x + iy = (1)/(1-cos theta + 2 i sin theta), theta ne 2n pi, n in I,...

    Text Solution

    |

  11. The equation z^3=bar z has

    Text Solution

    |

  12. If z = 5 + t + isqrt(25 - t^(2)), (-5 le t le 5), then locus of z is a...

    Text Solution

    |

  13. If omega is complex cube root of that 1/(a+omega)+1/(b+omega)+1/(c+ome...

    Text Solution

    |

  14. if |z-iRe(z)|=|z-Im(z)| where i=sqrt(-1) then z lies on

    Text Solution

    |

  15. If omega is a complex cube root of unity, then value of expression cos...

    Text Solution

    |

  16. If roots of the equation z^2+ az + b = 0 are purely imaginary then

    Text Solution

    |

  17. The system of equations |z+1-i|=sqrt2 and |z| = 3 has

    Text Solution

    |

  18. If 8iotaz^3+12z^2-18z+27iota=0 then: a. |z|=3/2 b. |z|=2/3 c. |z|=...

    Text Solution

    |

  19. If a complex number z lies in the interior or on the boundary of a cir...

    Text Solution

    |

  20. If x+iy=3/(2+costheta +i sin theta), then show that x^2+y^2=4x-3

    Text Solution

    |