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

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

A

`tan^(-1)(2k)/(k^(2)+1)`

B

`tan^(-1)(2k)/(1-k^(2))`

C

`-2tan^(-1)k`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|59 Videos

  • COMPLEX NUMBERS

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

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA|Exercise Exercise|86 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))/(z_(1)+z_(2))|=1 , then

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

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

Let z_(1),z_(2) be two complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| . Then,

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

If z_(1)-z_(2) are two complex numbers such that |(z_(1))/(z_(2))|=1 and arg (z_(1)z_(2))=0, then

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

OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
  1. The points representing cube roots of unity

    Text Solution

    |

  2. If z(1) and z(2) are two complex numbers such that |(z(1)-z(2))/(z(1)+...

    Text Solution

    |

  3. If z(1), z(2) are two complex numbers such that |(z(1)-z(2))/(z(1)+z(2...

    Text Solution

    |

  4. If n is a positive integer greater than unity z is a complex number sa...

    Text Solution

    |

  5. If n is a positive integer greater than unity z is a complex number sa...

    Text Solution

    |

  6. If at least one value of the complex number z=x+iy satisfies the condi...

    Text Solution

    |

  7. Given z is a complex number with modulus 1. Then the equation [(1+i a)...

    Text Solution

    |

  8. The center of a regular polygon of n sides is located at the point z=0...

    Text Solution

    |

  9. If the points z(1),z(2),z(3) are the vertices of an equilateral triang...

    Text Solution

    |

  10. For any complex number z, the minimum value of |z|+|z-1|

    Text Solution

    |

  11. The inequality |z-4| < |z-2| represents

    Text Solution

    |

  12. Number of non-zero integral solution of the equation |1-i| ^(n)=2^(n),...

    Text Solution

    |

  13. If "Im"(2z+1)/(iz+1)=-2, then locus of z, is

    Text Solution

    |

  14. lf z(!=-1) is a complex number such that [z-1]/[z+1] is purely imagina...

    Text Solution

    |

  15. If x=-5+2sqrt(-4) , find the value of x^4+9x^3+35 x^2-x+4.

    Text Solution

    |

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

    Text Solution

    |

  17. If z1,z2 are two complex numbers such that Im(z1+z2)=0,Im(z1z2)=0, the...

    Text Solution

    |

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

    Text Solution

    |

  19. If log sqrt(3)((|z|^(2)-|z|+1)/(2+|z|))gt2, then the locus of z is

    Text Solution

    |

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

    Text Solution

    |