Home
Class 12
MATHS
If one root of the equation x^2 + (1 - 3...

If one root of the equation `x^2 + (1 - 3i) x - 2(1+i) = 0` is `-1 +i`, then the other root is

A

`-1-i`

B

2i

C

i

D

`(1-i)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Miscellaneous Exercise (Matching Entries )|9 Videos

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Assertion / Reason |2 Videos

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (4) (fill in the blanks )|2 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise SELF ASSIGNMENT TEST |11 Videos

  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Self Assessment Test|13 Videos

Similar Questions

Explore conceptually related problems

Find the roots of the equation x^(2) + ix - 1 - i = 0

Which of the following is/are CORRECT . A) If one root of the equation x^(2)-sqrt(5)x-19=0 is (9-sqrt(5))/(2) ,then the other root is (-9+sqrt(5))/(2) B) If one root of the equation x^(2)-sqrt(5)x-19=0 is (9-sqrt(5))/(2) ,then the other root is (9+sqrt(5))/(2) C) If one root of the equation x^(2)-ix-(1+i)=0 , (i=sqrt(-1)) is 1+i find the other root -1 D) If one root of the equation x^(2)-ix-(1+i)=0 , (i=sqrt(-1)) is 1+i find the other root 1-i

If one root of the equation x^(2)-ix-(1+i)=0,(i=sqrt(-1)) is 1+i , find the other root.

Roots of the equation x^(n)-1=0,n in I

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

If one root of the quadratic equation x^(2) + 6x + 2 = 0 is, (2)/(3) then find the other root of the equation.

In one root of the quadratic equation (1 + i) x^2– (7 + 3i) x + (6 + 8i) = 0 "is " 4 – 3i , then the other root must be

Fill in the blank : If 1+ i is a root of the equation ix^2-3x+p = 0 where i= sqrt-1 then the other root is ………..

If one root of x^(2)-(3+2i)x+(1+3i)=0 is 1+i then the other root is

ML KHANNA-COMPLEX NUMBERS -Self Assessment Test
  1. The modulus of the complex number z such that | z + 3 - i| = 1 and arg...

    Text Solution

    |

  2. If z = (4)/(1 - i) then bar(z) is equal to

    Text Solution

    |

  3. If one root of the equation x^2 + (1 - 3i) x - 2(1+i) = 0 is -1 +i, th...

    Text Solution

    |

  4. Convert the complex number z=(i-1)/(cospi/3+isinpi/3)in the polar form...

    Text Solution

    |

  5. If z(1) , z(2), z(3) are three complex numbers in A.P., then they lie ...

    Text Solution

    |

  6. The complex number(1+2i)/( 1-i) lies in the Quadrant number

    Text Solution

    |

  7. If xr=cos(pi/(2^r))+isin(pi/(2^r)) then x1,x2,x3,.....oo

    Text Solution

    |

  8. If p(x,y) denotes z = x + iy in Argand plane and | (z - 1)/( z + 2i)|...

    Text Solution

    |

  9. If omega (!= 1) is a cube root of unity, then the sum of the series S ...

    Text Solution

    |

  10. The smallest positive integral value of 'n' such that [(1+sin\ pi/8 + ...

    Text Solution

    |

  11. If 1 , omega and omega^(2) are the cube roots of unity, then the valu...

    Text Solution

    |

  12. If Z=ilog(2-sqrt(3)),then cos(Z)=

    Text Solution

    |

  13. If z = |{:(1 , 1 + 2i, - 5i),(1 - 2i,-3,5+3i),(5i,5-3i,7):}|, then (i=...

    Text Solution

    |

  14. sum(k=1)^6 (sin,(2pik)/7 -icos, (2pik)/7)=?

    Text Solution

    |

  15. Let z be a complex number such that the imaginary part of z is nonzero...

    Text Solution

    |

  16. If z ne 1 and (z^(2))/(z-1) is real, the point represented by the comp...

    Text Solution

    |

  17. If omega(ne 1) be a cube root of unity and (1+omega)^(7)=A+Bomega, the...

    Text Solution

    |

  18. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+iz(2...

    Text Solution

    |

  19. If z is any complex number satisfying | z - 3- 2i | le 1 then the min...

    Text Solution

    |

  20. Let omega= e^((ipi)/3) and a, b, c, x, y, z be non-zero complex numb...

    Text Solution

    |