Home
Class 11
MATHS
Fill in the blanks of the following If...

Fill in the blanks of the following
If `|z|=4" and arg"(z)=(5pi)/(6)`, then z=.....

Text Solution

Verified by Experts

The correct Answer is:
`=-2 sqrt(3)+2i`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (Match Column & Short Questions)|15 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (Objective type questions)|16 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|11 Videos

  • BINOMIAL THEOREM

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|7 Videos

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|9 Videos

Similar Questions

Explore conceptually related problems

If |z| = 2 and arg z = (pi)/4 then z = ........

Fill in the blanks of the following If |(z-2)/(z+2)|=(pi)/(6) then the locus of z is.....

Fill in the blanks of the following arg(z)+ arg(barz) where (barz ne 0) is.....

Fill in the blanks of the following If z_(1) and z_(2) are complex numbers such that z_(1)+z_(2) is a real number, then z_(1)=

Fill in the blanks of the following If |z+4| le3 , then the greatest and least values of |z+1| are ... and .....

Fill in the blanks of the following For any two complex numbers z_(1),z_(2) and real numbers a,b|az_(1)-bz_(2)|^(2)+|bz_(1)+az_(2)|^(2)=....

z = (1+i)/(1-i) then z^4 = .......... .

If z and we are two complex numbers such that |zw|=1 and arg(z)-arg(w)=(pi)/(2) then show that barzw=-i

If z_1 and z_2 both satisfy the relation z+overlinez=2|z-1| and arg(z_1-z_2)=pi/4, then Im(z_1+z_2) equals

KUMAR PRAKASHAN-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)
  1. Convert the complex number z=(1-i)/(cos pi/3 + I sin pi/3) in the pola...

    Text Solution

    |

  2. If z and we are two complex numbers such that |zw|=1 and arg(z)-arg(w)...

    Text Solution

    |

  3. Fill in the blanks of the following For any two complex numbers z(1)...

    Text Solution

    |

  4. Fill in the blanks of the following the value of sqrt(-25)xxsqrt(-9)...

    Text Solution

    |

  5. Fill in the blanks of the following The number ((1-i)^(2))/(1-i^(3))...

    Text Solution

    |

  6. Fill in the blanks of the following The sum of the series i+i^(2)+i^...

    Text Solution

    |

  7. Fill in the blanks of the following Multiplicative inverser of 1+I i...

    Text Solution

    |

  8. Fill in the blanks of the following If z(1) and z(2) are complex num...

    Text Solution

    |

  9. Fill in the blanks of the following arg(z)+ arg(barz) where (barz ne...

    Text Solution

    |

  10. Fill in the blanks of the following If |z+4| le3, then the greatest ...

    Text Solution

    |

  11. Fill in the blanks of the following If |(z-2)/(z+2)|=(pi)/(6) then t...

    Text Solution

    |

  12. Fill in the blanks of the following If |z|=4" and arg"(z)=(5pi)/(6),...

    Text Solution

    |

  13. State true of false for the following: The order relation is defined...

    Text Solution

    |

  14. State true of false for the following: Multiplication of a non-zero ...

    Text Solution

    |

  15. State true of false for the following: For any complex number, z, th...

    Text Solution

    |

  16. State true of false for the following: The locus represented by |z-1...

    Text Solution

    |

  17. State true of false for the following: If z is a complex number such...

    Text Solution

    |

  18. State true of false for the following: the inequality |z-4| lt |z-2|...

    Text Solution

    |

  19. State true of false for the following: Let z(1) and z(2) be two comp...

    Text Solution

    |

  20. State true of false for the following: 2 is not a complex number.

    Text Solution

    |