Home
Class 12
MATHS
If z in C and iz ^(3)+4z^(2)-z+4i=0 , t...

If ` z in C` and `iz ^(3)+4z^(2)-z+4i=0` , then a complex root of this euquation having minimum magnitude is

A

`4i`

B

`(1-i)/(sqrt(2))`

C

`(sqrt(3)+I)/(2)`

D

`(1+i)/(sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ONLINE QUESTION PAPER

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|80 Videos
  • QUESTION PAPER 2015

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|78 Videos

Similar Questions

Explore conceptually related problems

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

If z=3-5i Show that z^(3)-10z^(2)+58z-136=0

If |(z+4i)/(z-2)|=2 then the locus of z is

If z is a complex number satisfying z^(4) + z^(3) + 2z^(2) + z + 1 = 0 then |z| is equal to

If z is a complex number such that |z| = 2 , find the maximum and minimum value of |z - 2 + 3i|

If z=2-3i , show that z^(2)-4z+13=0

TS EAMCET PREVIOUS YEAR PAPERS-ONLINE QUESTION PAPER 2018-MATHEMATICS
  1. If a point p dentes a complex number z=x+iy in the argand plane and if...

    Text Solution

    |

  2. If omega is complex cube root of unity , the [(51+73 omega+87 omega^2)...

    Text Solution

    |

  3. If z in C and iz ^(3)+4z^(2)-z+4i=0 , then a complex root of this euq...

    Text Solution

    |

  4. If alpha " and "beta are the roots of the equation x^(2)-4x+5=0 then t...

    Text Solution

    |

  5. f(x) is quadratic expression such that f(x) is negative when x in (-oo...

    Text Solution

    |

  6. If a, b c in R are such that 4a+2b+c gt 0 and ax^(2)+bx + c=0 has no...

    Text Solution

    |

  7. The minimum degree of polynomial equation with rational coefficients h...

    Text Solution

    |

  8. If all the digits in the number 53426 are permuted in all possible way...

    Text Solution

    |

  9. Three parallel straight lines Li,L2 " and " L3 lie on the same plane. ...

    Text Solution

    |

  10. If a gt 0 and the coefficient of x^2 in the expansion of (ax^3 + c/x)^...

    Text Solution

    |

  11. If x= (3)/(4.8) + (3.5)/(4.8.12)+ (3.5.7)/(4.812.16) + …., then 2x^2+5...

    Text Solution

    |

  12. If (3x^2+1)/((x^2+1)(x^2+2)^2)= (Ax+B)/(x^2+1)+ (Cx+D)/(x^2+2)+ (Ex+F)...

    Text Solution

    |

  13. If tan (pi/4+ y/2)= tan^3 (pi/4 + x/2) then (3 sin x + sin^3 x)/(1+3 ...

    Text Solution

    |

  14. (cos 252^@ - sin 126^@)(cos 252^@ + sin 126^@)( sin^2 126^@ + sin^2 18...

    Text Solution

    |

  15. If alpha,beta, gamma are any three angles , then cos alpha + cos beta...

    Text Solution

    |

  16. The general solution of the equation sqrt(3- 5 sin x+ sin^2 x) + cos x...

    Text Solution

    |

  17. Consider the following statements. I. sin^(-1)(y^2-4y+6)+ cos^(-1)(y...

    Text Solution

    |

  18. If sec theta cos h y= cosec x and cosec theta sinh y = sec x, then sin...

    Text Solution

    |

  19. Consider the following statements. I. In Delta ABC , if c=6 and cos...

    Text Solution

    |

  20. In Delta ABC , if a=3 , b=4,c=6 then ("cot" (A)/(2)+"cot" (B)/(2)+ "co...

    Text Solution

    |