Home
Class 12
MATHS
If -i+3 is a root of x^(2)-6x+k=0. Then ...

If `-i+3` is a root of `x^(2)-6x+k=0`. Then the value of `k` is :

A

`5`

B

`sqrt(5)`

C

`sqrt(10)`

D

`10`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Solution to Exercise 2.9|25 Videos
  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Answer the following questions)|21 Videos
  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos

Similar Questions

Explore conceptually related problems

If x^(2)-6x+k = 0 has equal roots the value of k is

If the difference between the roots of the equation x^(2)-13x+k=0 is 7 then the value of k is ___.

If (x-6) is the HCF of x^(2)-2x-24 and x^(2)-kx-6 then the value of k is.

If a and b are the roots of the equation x^(2)- kx + 9 = 0 and satisfy a^(2) + b^(2) = 18 then the value of k is

If a and b are the roots of the equation x^(2) - kx + 16 = 0 and satisfy a^(2) + b^(2) = 32, then the value of k is

If x=5 is the root of a equation kx^(2)-14x-5=0, then find the value of K

If x=9 is one root of the quadratic equation x^(2)-11x+k=0 , then find the value of k.

If x^2+2(k+2)x+9k=0 has equal roots then k is :

If one of the roots of the equation 3x^(2)-kx-2=0 is 2. Find the value of k. Also find the other roots.

If a and b are the roots of the equation x^2 - kx + 16 =0 satisfy a^2 + b^2 =32 , then the value of k is …………… .

PREMIERS PUBLISHERS-COMPLEX NUMBERS-Problem for practice
  1. If z(1)=4+5i and z(2)=-3+2i that (z(1))/(z(2)) is :

    Text Solution

    |

  2. The number of values of (costheta+isintheta)^(p//q) where p and q are ...

    Text Solution

    |

  3. If -i+3 is a root of x^(2)-6x+k=0. Then the value of k is :

    Text Solution

    |

  4. If x^(2)+y^(2)=1, then the value of (1+x+iy)/(1+x-iy).

    Text Solution

    |

  5. The value of ((-1 + isqrt3)/(2))^(100) + ((-1-isqrt3)/(2))^(100) is :

    Text Solution

    |

  6. The principal value of arg(z) lies in the interval :

    Text Solution

    |

  7. If -barz lies in the third quadrant then z lies in the :

    Text Solution

    |

  8. If P is ((1)/(2)+i(sqrt(3))/(2)) and OP is rotated through an angle (p...

    Text Solution

    |

  9. If the amplitude of a complex number is (pi)/(2) then the number is :

    Text Solution

    |

  10. If A+iB=(a(1)+ib(1))(a(2)+ib(2))(a(3)+ib(3)) then A^(2)+B^(2) is :

    Text Solution

    |

  11. The points z(1)z(2)z(3)z(4) in the complex plane are the vertices of a...

    Text Solution

    |

  12. If omega is the cube root of unity, then then value of (1 - omega) (1 ...

    Text Solution

    |

  13. Find the correct statement : The cube roots of unity are :

    Text Solution

    |

  14. Which of the following is incorrect.?

    Text Solution

    |

  15. Which of the following is incorrect ?

    Text Solution

    |

  16. Which of the following is incorrect ?

    Text Solution

    |

  17. Which of the following is correct statement ?

    Text Solution

    |

  18. If z^(n) = cos"" (n pi)/(3) + isin"" (n pi)/(3),thenz(1), z(2) …. Z(6)...

    Text Solution

    |

  19. Which of the following is incorrect regarding n^(th) roots of unity ?

    Text Solution

    |

  20. Find the correct staements in the following? If P represents the compl...

    Text Solution

    |