Home
Class 11
MATHS
Number of solutions of the equation z^3+...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos
  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

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

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

The number of solutions of the equation z^(3)+barz=0 , is

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

Solve |z|+z= 2+ i , where z is a complex number

Number of solutions of Re(z^2)=0 and |z|=rsqrt(2) where z is a complex number and rgt0 is (A) 2 (B) 4 (C) 5 (D) none of these

Prove that |(z-1)/(1-barz)|=1 where z is as complex number.

Solve the equation 2z=|\z|+2i , where z is a complex number.

Number of solutions of Re(z^(2))=0 and |Z|=a sqrt(2) , where z is a complex number and a gt 0 , is

If one root of the equation z^2-a z+a-1= 0 is (1+i), where a is a complex number then find the root.

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Find the principal argument of the complex number ((1+i)^5(1+sqrt(3i))...

    Text Solution

    |

  2. Form a quadratic equation with real coefficients whose one root is 3-2...

    Text Solution

    |

  3. Number of solutions of the equation z^3+[3(barz)^2]/|z|=0 where z is a...

    Text Solution

    |

  4. If the roots of the quadratic equation x^2+p x+q=0 are tan30^0a n dtan...

    Text Solution

    |

  5. If xa n dy are complex numbers, then the system of equations (1+i)x+(1...

    Text Solution

    |

  6. If a ,b ,a n dc are in A.P. and one root of the equation a x^2+b c+c=0...

    Text Solution

    |

  7. If z=x+iy (x, y in R, x !=-1/2), the number of values of z satisfying ...

    Text Solution

    |

  8. If K + |K + z^(2)| = \ z|^(2) ( K in R^(-)) , then possible argument...

    Text Solution

    |

  9. If alpha is the root (having the least absolute value) of the equation...

    Text Solution

    |

  10. If alpha,beta are roots of x^2-3x+a=0 , a in R and alpha &lt;1< beta...

    Text Solution

    |

  11. If z=x+iy and x^(2)+y^(2)=16, then the range of abs(abs(x)-abs(y)) is

    Text Solution

    |

  12. If a lt b lt c lt d, then for any real non-zero lambda, the quadratic...

    Text Solution

    |

  13. If k>0, |z|=|w|=k, and alpha=(z-bar w)/(k^2+zbar(w)), then Re(alpha) ...

    Text Solution

    |

  14. The quadratic x^2+a x+b+1=0 has roots which are positive integers, th...

    Text Solution

    |

  15. The sum of values of x satisfying the equation (31+8sqrt(15))^(x^2-3)+...

    Text Solution

    |

  16. Let a complex number alpha,alpha!=1, be a rootof hte euation z^(p+q)-z...

    Text Solution

    |

  17. If alpha,beta are real and distinct roots of a x^2+b x-c=0a n dp ,q ar...

    Text Solution

    |

  18. Let a!=0 and p(x) be a polynomial of degree greater than 2. If p(x) le...

    Text Solution

    |

  19. Prove that there exists no complex number z such that |z| &lt; 1/3 an...

    Text Solution

    |

  20. A quadratic equation with integral coefficients has two different prim...

    Text Solution

    |