Home
Class 12
MATHS
The number of solutions of the equation ...

The number of solutions of the equation `z^2+z=0` where z is a a complex number, is

A

2

B

4

C

6

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|59 Videos
  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|15 Videos
  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA|Exercise Exercise|86 Videos

Similar Questions

Explore conceptually related problems

Solve the equation z^(2)+|z|=0, where z is a complex number.

The number of solutions of the equation Im(z^(2))=0,|z|=2 is

The number of solutions of the equation |z|^(2)+4bar(z)=0 is

The number of solutions of the equation z^(2)=bar(z) is

What is the number of distinct solutions of the equation z^(2)+|z|=0 (where z is a complex number)? (a) One (b) Two (c) Three (d) Five

OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
  1. Let A,B and C represent the complex number z1, z2, z3 respectively on ...

    Text Solution

    |

  2. Number of solutions of the equation z^(2)+|z|^(2)=0, where z in C, is

    Text Solution

    |

  3. The number of solutions of the equation z^2+z=0 where z is a a complex...

    Text Solution

    |

  4. The centre of a square is at the origin and one of the vertex is 1-i e...

    Text Solution

    |

  5. Let za n domega be two complex numbers such that |z|lt=1,|omega|lt=1a ...

    Text Solution

    |

  6. The system of equation |z+1+i|=sqrt2 and |z|=3}, (where i=sqrt-1) ha...

    Text Solution

    |

  7. The triangle with vertices at the point z1z2,(1-i)z1+i z2 is

    Text Solution

    |

  8. Let alpha and beta be two fixed non-zero complex numbers and 'z' a var...

    Text Solution

    |

  9. The center of a square is at z=0. A is z(1), then the centroid of the ...

    Text Solution

    |

  10. If z=x+i y , then he equation |(2z-i)//(z+1)|=m represents a circle, t...

    Text Solution

    |

  11. If x^2-2xcos theta+1=0, then the value of x^(2n)-2x^n cosntheta+1, n ...

    Text Solution

    |

  12. If p^(2)-p+1=0, then the value of p^(3n) can be

    Text Solution

    |

  13. If n in Z, then (2^(n))/(1+i)^(2n)+(1+i)^(2n)/(2^(n)) is equal to

    Text Solution

    |

  14. If arg (z(1)z(2))=0 and |z(1)|=|z(2)|=1, then

    Text Solution

    |

  15. If omega is a complex cube root of unity, then ((1+i)^(2n)-(1-i)^(2n))...

    Text Solution

    |

  16. If z is a complex number satisfying z + z^-1 = 1 then z^n + z^-n , n i...

    Text Solution

    |

  17. x^(3m) + x^(3n-1) + x^(3r-2), where, m,n,r in N is divisible by

    Text Solution

    |

  18. If z is nonreal root of [-1]^[1/7] then,find the value of z^86+z^175+z...

    Text Solution

    |

  19. The locus of point z satisfying Re(z^(2))=0, is

    Text Solution

    |

  20. The curve represented by "Im"(z^(2))=k, where k is a non-zero real num...

    Text Solution

    |