Home
Class 12
MATHS
The modulus of the complex number z such...

The modulus of the complex number z such that `|z+3-i|=1" and "arg z= pi` is equal to

A

`1`

B

`2`

C

`9`

D

`3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos
  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos
  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

The number of complex numbers z such that |z|=1 and |z/ barz + barz/z|=1 is arg(z) in [0,2pi)) then a. 4 b. 6 c. 8 d. more than 8

z and omega are two nonzero complex number such that |z|=|omega|" and "Argz+Arg omega= pi then z equals

If z and omega are two non-zero complex numbers such that |z omega|=1" and "arg(z)-arg(omega)=(pi)/(2) , then bar(z)omega is equal to

Let z, omega be complex numbers such that bar(z)+ibar(omega)=0" and "arg z omega= pi . Then arg z equals

If z is a complex number such that z+|z|=8+ 12i , then the value of |z^2| is equal to

If z is a complex number such that Re(z)=Im(z) , then

If z is a complex number such that Re (z) = Im(z), then

If z_1a n dz_2 are two complex numbers such that |z_1|=|z_2|a n d arg(z_1)+a r g(z_2)=pi , then show that z_1,=-( barz )_2dot

Find modulus and argument of the complex numbers z=-sqrt(3)+i

If z_1a n dz_2 are two nonzero complex numbers such that = |z_1+z_2|=|z_1|+|z_2|, then a rgz_1-a r g z_2 is equal to -pi b. pi/2 c. 0 d. pi/2 e. pi

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. If x^(2) +4 ax +2 gt 0 for all values of x, then a lies in the interva...

    Text Solution

    |

  2. If (x+iy)^(1/3)= 2+3i, then 3x+2y is equal to

    Text Solution

    |

  3. The modulus of the complex number z such that |z+3-i|=1" and "arg z= p...

    Text Solution

    |

  4. If z(1),z(2),"……"z(n) are complex numbers such that |z(1)|=|z(2)|="…."...

    Text Solution

    |

  5. The value of (cos 30^(@)+isin 30^(@))/(cos 60^(@)-isin 60^(@)) is equa...

    Text Solution

    |

  6. If z=r(cos theta+ isin theta), then the value of (z)/(bar z)+(barz)/(z...

    Text Solution

    |

  7. If z(1)= sqrt(2)(cos ""(pi)/(4)+ isin""(pi)/(4))" and "z(2)= sqrt(3)(c...

    Text Solution

    |

  8. The value of a for which the equation 2x^(2)+2 sqrt(6)x+a=0 has equal ...

    Text Solution

    |

  9. If (3)/(2)+(7)/(2)i is a solution of the equation ax^(2)-6x+b=0, where...

    Text Solution

    |

  10. If the roots of the equation x^(2)-bx+c=0 are two consecutive integers...

    Text Solution

    |

  11. If alpha" and "beta are the roots of the equation ax^(2)+bx+c=0, (c ne...

    Text Solution

    |

  12. If a and b are the roots of the equation x^(2)+ax+b=0, a ne 0, b ne 0,...

    Text Solution

    |

  13. If x^(2)+px+q=0 has the roots alpha" and "beta, then the value of (alp...

    Text Solution

    |

  14. The value of i-i^(2)+i^(3)-i^(4)+"……."-i^(100) is equal to

    Text Solution

    |

  15. If the imaginary part of (2+i)/(ai-1) is zero, where a is a real numbe...

    Text Solution

    |

  16. The argument of the complex number ((i)/(2)-(2)/(i)) is equal to

    Text Solution

    |

  17. Let z(1)=3+4i" and "z(2)= -1+2i. Then |z(1)+z(2)|^(2)-2(|z(1)|^(2)+|z(...

    Text Solution

    |

  18. If z(1)" and "z(2) are two non-zero complex numbers such that |z(1)+z(...

    Text Solution

    |

  19. If the equation x^(2)-(2+m)x+(m^(2)-4m+4)=0 in x has equal roots, then...

    Text Solution

    |

  20. The number of integral values of b, for which the equation x^(2)+bx-16...

    Text Solution

    |