Home
Class 12
MATHS
If z(1) , z(2) are two complex numbers s...

If `z_(1) , z_(2)` are two complex numbers such that `I m (z_(1) + z_(2)) = 0 Im, (z_(1) z_(2)) = 0 ` then :

A

`z_(1)=-z_(2)`

B

`z_(1)=z_(2)`

C

`z_(1)=barz_(2)`

D

`z_(1)=-barz_(2)`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos
  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|15 Videos
  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|87 Videos

Similar Questions

Explore conceptually related problems

If z_(1) and z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 , then

If z_(1) and z_(2) are two complex numbers such that |(z_(1)-z_(2))/(1-barz_(1)z_(2))|=1 , then which one of the following is true?

If z_1,z_2 are two complex numbers such that Im(z_1+z_2)=0,Im(z_1z_2)=0 , then:

If z_(1) , z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 and iz_(1)=Kz_(2) , where K in R , then the angle between z_(1)-z_(2) and z_(1)+z_(2) is

Let z_(1),z_(2) be two complex numbers such that z_(1)+z_(2) and z_(1)z_(2) both are real, then

If z_(1) = a + ib " and " z_(2) + c id are complex numbers such that |z_(1)| = |z_(2)| = 1 and Re (z_(1)bar (z)_(2)) = 0 , then the pair of complex numbers w_(1) = a + ic " and " w_(2) = b id satisfies :

State true or false for the following. Let z_(1) " and " z_(2) be two complex numbers such that |z_(2) + z_(2)| = |z_(1) | + |z_(2)| , then arg (z_(1) - z_(2)) = 0

Let z_(1) and z_(2) be two given complex numbers such that z_(1)/z_(2) + z_(2)/z_(1)=1 and |z_(1)| =3 , " then " |z_(1)-z_(2)|^(2) is equal to

If z_(1) and z_(2) are to complex numbers such that two |z_(1)|=|z_(2)|+|z_(1)-z_(2)| , then arg (z_(1))-"arg"(z_(2))

If z_(1) and z_(2) are two complex numbers satisying the equation. |(iz_(1)+z_(2))/(iz_(1)-z_(2))|=1 , then z_(1)/z_(2) is

OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Exercise
  1. If x=-5+2sqrt(-4) , find the value of x^4+9x^3+35 x^2-x+4.

    Text Solution

    |

  2. If z(1),z(2), z(3) are vertices of an equilateral triangle with z(0) i...

    Text Solution

    |

  3. If z(1) , z(2) are two complex numbers such that I m (z(1) + z(2)) = 0...

    Text Solution

    |

  4. If z^2+z|z|+|z^2|=0, then the locus z is a. a circle b. a straight ...

    Text Solution

    |

  5. If log(sqrt3) ((|z|^(2)-|z|+1)/(2+|z|)) lt 2 ,then the locus of z is

    Text Solution

    |

  6. Let g(x) and h(x) are two polynomials such that the polynomial P(x) =g...

    Text Solution

    |

  7. If g(x) and h(x) are two polynomials such that the polynomials P(x)=g(...

    Text Solution

    |

  8. if x(k) = cos pi/3^(k) + isin pi/3^(k) , find x(1)x(2)x(3)……oo (...

    Text Solution

    |

  9. If (a1+ib1)(a2+ib2).....(an+ibn)=A+iB, then (a1^2+b1^2)(a2^2+b2^2).......

    Text Solution

    |

  10. If (a(1)+ib(1))(a(2)+ib(2))………………(a(n)+ib(n))=A+iB, then sum(i=1)^(n) ...

    Text Solution

    |

  11. If cosalpha+2cosbeta+3cosgamma=sinalpha+2sinbeta+3singamma=0,t h e nt ...

    Text Solution

    |

  12. If alpha,betaandgamma are the cube roots of P(p)lt0), then for any x, ...

    Text Solution

    |

  13. prove that tan(i" In"((a-ib)/(a+ib)))=(2ab)/(a^(2)-b^(2)) (where a, ...

    Text Solution

    |

  14. Find the relation if z1, z2, z3, z4 are the affixes of the vertices of...

    Text Solution

    |

  15. The locus of the points representing the complex numbers z for which |...

    Text Solution

    |

  16. For n=6k, k in z, ((1-isqrt(3))/(2))^(n)+((-1-isqrt(3))/(2))^(n) has t...

    Text Solution

    |

  17. The product of all values of (cosalpha+isinalpha)^(3//5) is

    Text Solution

    |

  18. If C^(2)+S^(2)=1, then (1+C+iS)/(1+C-iS) is equal to

    Text Solution

    |

  19. The centre of a square ABCD is at z=0, A is z(1). Then, the centroid o...

    Text Solution

    |

  20. The number of solutions of the system of equations "Re(z^(2))=0, |z|=2...

    Text Solution

    |