Home
Class 12
MATHS
Number of roots of the equation z^10-z^5...

Number of roots of the equation `z^10-z^5 -992=0` with negative real part is

A

3

B

4

C

5

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|12 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise For Session 4|14 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

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

The number of real roots of the equation z^(3)+iz-1=0 is

The roots of the equation z^(n)=(z+3)^(n)

The number of roots of the equation z^(6)=-64 whose real parts are non-negative,

The number of real roots of the equation |x^(2)|-5|x|+6=0 is

Number of solutions of the equation z^(3)+(3(bar(z))^(2))/(|z|)=0 where z is a complex number is

If the equation 4x^(3)+5x+k=0(k in R) has a negative real root then

ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Single Option Correct Type Questions)
  1. if cos (1-i) = a+ib, where a , b in R and i = sqrt(-1) , then

    Text Solution

    |

  2. Number of roots of the equation z^10-z^5 -992=0 with negative real par...

    Text Solution

    |

  3. If z1 and bar z1 represent adjacent vertices of a regular polygon of n...

    Text Solution

    |

  4. If prod(p=1)^(r) e^(iptheta)=1, where prod denotes the continued produ...

    Text Solution

    |

  5. If (3+i)(z+bar(z))-(2+i)(z-bar(z))+14i=0, where i=sqrt(-1), then z bar...

    Text Solution

    |

  6. The centre of a square ABCD is at z=0, A is z(1). Then, the centroid o...

    Text Solution

    |

  7. If z=(sqrt(3)-i)/2, where i=sqrt(-1), then (i^(101)+z^(101))^(103) equ...

    Text Solution

    |

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

    Text Solution

    |

  9. If alpha = cos((8pi)/11)+i sin ((8pi)/11) then Re(alpha + alpha^2+alph...

    Text Solution

    |

  10. The set of points in an Argand diagram which satisfy both abs(z)le4 an...

    Text Solution

    |

  11. If f(x)=g(x^(3))+xh(x^(3)) is divisiblel by x^(2)+x+1, then

    Text Solution

    |

  12. If the points represented by complex numbers z(1)=a+ib, z(2)=c+id " an...

    Text Solution

    |

  13. Let C and R denote the set of all complex numbers and all real numb...

    Text Solution

    |

  14. Let alpha and beta be two distinct complex numbers, such that abs(alph...

    Text Solution

    |

  15. The complex number z satisfies thc condition |z-25/z|=24. The maximum ...

    Text Solution

    |

  16. The points A,B and C represent the complex numbers z(1),z(2),(1-i)z(1)...

    Text Solution

    |

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

    Text Solution

    |

  18. Dividing f(z) by z-i, we obtain the remainder 1-i and dividing it by z...

    Text Solution

    |

  19. The centre of circle represented by |z + 1| = 2 |z - 1| in the complex...

    Text Solution

    |

  20. If x=9^(1/3) 9^(1/9) 9^(1/27) ......ad inf y= 4^(1/3) 4^(-1/9) 4^(1/...

    Text Solution

    |