Home
Class 12
MATHS
If -i + 2 is one root of the equation ax...

If `-i + 2` is one root of the equation `ax^2 - bx + c = 0`, then the other root is …………

A

`-i - 2`

B

`i - 2`

C

`2 + i`

D

`2i + i`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.1|6 Videos
  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.2|3 Videos
  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.9|25 Videos
  • APPLICATIONS OF VECTOR ALGEBRA

    FULL MARKS|Exercise Additional Questions Solved|59 Videos
  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    FULL MARKS|Exercise Additional Questions Solved|29 Videos

Similar Questions

Explore conceptually related problems

If (1+i) is a root of the equation x^(2)-x+(1-i)=0 , then the other root is

If 2+i is a root of the equation x^(3)-5x^(2)+9x-5=0 , then the other roots are

If a ,b and c are in A.P. and one root of the equation a x^2+b c+c=0 is 2 , the find the other root dot

If alpha and beta are the roots of the equation ax^(2)+bx+c=0 then the sum of the roots of the equation a^(2)x^(2)+(b^(2)-2ac)x+b^(2)-4ac=0 is

If one root of the equation 2x^(2) - ax + 64 = 0 is twice that of the other then find the value of a.

If one root of the equation ax^2 + bx + c = 0 is equal to the n^(th) power of the other, then (ac^n)^(1/(n+1)) + (a^n c)^(1/(n+1)) + b is equal to

If alpha and beta are thr roots of the equation ax^(2) + bx + c = 0 then ( alpha + beta )^(2) is ……… .

If one of the roots of the equation x^(2)+bx+3=0 is thrice the other then, b=

The common root of the equation x^(2) - bx + c = 0 and x^(2) + b x - a= 0 is ………..

FULL MARKS-COMPLEX NUMBERS -ADDITIONAL QUESTIONS SOLVED
  1. ((1 - i)/(1+ i))^(100) = a + ib then (a,b) is ……….

    Text Solution

    |

  2. If ((1 + i)/(1 - i))^(3) - ((1 - i)/(1 + i))^(3) = x + iy then (x, y) ...

    Text Solution

    |

  3. Evaluate i^(60)

    Text Solution

    |

  4. Fill in the blanks of the following : For any two complex numbers z1...

    Text Solution

    |

  5. Multiplicative inverse of 1 + i is ………..

    Text Solution

    |

  6. arg(z) + arg(barz) (z != 0) is ………..

    Text Solution

    |

  7. If |z| = 4 and arg(z) = (5pi)/6, then z = …………..

    Text Solution

    |

  8. If a = cos 2alpha + i sin 2 alpha, b = cos 2 beta + i sin 2 beta and c...

    Text Solution

    |

  9. If p +iq = (a + ib)/(a - ib) then p^2 + q^2 = …………

    Text Solution

    |

  10. Evaluate i^(78)

    Text Solution

    |

  11. If a =cos alpha - i sin alpha, b= cos beta - i sin beta, c = cos gamma...

    Text Solution

    |

  12. If z(1)=4+5i and z(2)=-3+2i that (z(1))/(z(2)) is :

    Text Solution

    |

  13. The conjugate of i^(13) + i^(14) + i^(15) + i^(16) is …………

    Text Solution

    |

  14. If -i + 2 is one root of the equation ax^2 - bx + c = 0, then the othe...

    Text Solution

    |

  15. The equation having 4 + 3i and 4 - 3i as root is ………..

    Text Solution

    |

  16. If 2−i is one root of the equation ax^2+bx+c=0, and a,b,c are rational...

    Text Solution

    |

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

    Text Solution

    |

  18. If omega is a cube root of unity, then the value of (1 - omega + omega...

    Text Solution

    |

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

    Text Solution

    |

  20. If (z - 1)/(z + 1) is purely imaginary, then |z| is

    Text Solution

    |