Home
Class 11
MATHS
Solve the system of equation Re(z^(2))=0...

Solve the system of equation `Re(z^(2))=0,|z|=2`.

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(2)+-I sqrt(2), -sqrt(2)+-sqrt(2)`
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

Solve the system of equations : z+ay+a^2x+a^3=0 z+by+b^2x+b^3=0 z+cy+c^2x+c^3=0] where a != b != c.

Solve the system of equations tan^2 x + cot^(2) x = 2cos^(2)y cos^(2)y+sin^(2)z=1

If A=[{:(1,2,0),(-2,-1,-2),(0,-1,1):}] find A^(-1) . Using A^(-1) , solve the system of linear equations x-2y=10, 2x-y-z=8, -2y+z=7 .

If A=[{:(2,-3,5),(3,2,-4),(1,1,-2):}] find A^(-1) . Using A^(-1) solve the system of equations 2x-3y+5z=11 3x+2y-4z=-5 x+y-2z=-3

Solve the system of equations: (log)_a x(log)_a(x y z)=48, (log)_a y log_a(x y z)=12 , a >0,\ a!=1(log)_a z log_a(x y z)=84\

Solve the system of equations in x,y and z satisfying the following equations x+[y]+{z}=3.1, y+[z]+{x}=4.3 and z+[x]+{y}=5.4

Solve z^(2)=z

Values of k for which the system of equation x+ky+3z=0, kx+2y+2z=0 and 2x+3y+4z=0 possesses non-trivial solution

Solve the following system of linear equations 2/x+3/y+(10)/z=4 4/x-6/y+5/z=1 6/x+9/y-(20)/z=2

KUMAR PRAKASHAN-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)
  1. If |z(1)|=|z(2)|=....|z(n)|=1, then show that, |z(1)+z(2)+z(3)+....z(n...

    Text Solution

    |

  2. If the complex numbers z(1) and z(2) arg (z(1))- arg(z(2))=0 then show...

    Text Solution

    |

  3. Solve the system of equation Re(z^(2))=0,|z|=2.

    Text Solution

    |

  4. Find the complex number satsifying the equation z+sqrt(2)|(z+1)|+i=0

    Text Solution

    |

  5. Convert the complex number z=(1-i)/(cos pi/3 + I sin pi/3) in the pola...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |