Home
Class 12
MATHS
A point P which represents a complex num...

A point P which represents a complex number Z moves such that `|Z-Z_(1)|=|Z-Z_(2)|`, then its locus is

A

a circle with centre `Z_(1)`

B

a circle with centre `Z_(2)`

C

a circle with centre Z

D

perpendicular bisector of line joining `Z_(1)" and "Z_(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

If |z-z_(1)|=|z-z_(2)| then the locus of z is :

If z = x + iy is a complex number such that |z + 2| = |z - 2|, then the locus of z is

If z is any complex number such that |3z-2|+|3z+2|=4 , then identify the locus of zdot

Find the correct staements in the following? If P represents the complex number z and if |2z-1|=2|z| then the locus of z .

It z_(1) and z_(2) are two complex numbers, such that |z_(1)| = |z_(2)| , then is it necessary that z_(1) = z_(2) ?

If |z-1|=|z-3| then the locus of z is

If z is non zero complex number, such that 2i z^(2) = bar(z), then |z| is

If |z-1|=2 then the locus of z is

If z is a complex number such that Re (z) = Im(z), then

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. Let a,b be the solutions of x^(2)+px+1=0 and c, d be the solutions of ...

    Text Solution

    |

  2. If alpha" and "beta are the solutions of the quadratic equation ax^(2)...

    Text Solution

    |

  3. A point P which represents a complex number Z moves such that |Z-Z(1)|...

    Text Solution

    |

  4. ((cos theta+isin theta)^4)/((sin theta+icos theta)^5)=?

    Text Solution

    |

  5. The quadratic equation whose roots are twice the roots of 2x^(2)-5x+2=...

    Text Solution

    |

  6. If alpha+beta=4" and "alpha^(3)+beta^(3)=44" the "alpha, beta are the ...

    Text Solution

    |

  7. The coefficient of x in x^(2)+px+q=0 was taken as 17 in place of 13 an...

    Text Solution

    |

  8. The value of (cos"" (pi)/(2)+isin ""(pi)/(2))(cos ((pi)/(2^2))+isin((p...

    Text Solution

    |

  9. (2-omega)(2-omega^(2))(2-omega^(10))(2-omega^(11))="……..", where omega...

    Text Solution

    |

  10. If Zr =cos ((pi)/(2^r))+isin((pi)/(2^r)) then Z(1).Z(2).Z(3)"…….." upt...

    Text Solution

    |

  11. In the Argand diagram OAP is an isosceles right angled triangle, right...

    Text Solution

    |

  12. The real part of [1+cos(pi/5)+isin (pi/5)]^(-1)

    Text Solution

    |

  13. For a ne b, if the equation x^(2)+ax+b=0" and "x^(2)+bx+a=0 have a com...

    Text Solution

    |

  14. If (2z1)/(3z2) is purely imaginary then |(z(1)-z(2))/(z(1)+z(2))|

    Text Solution

    |

  15. If one of the roots of the equation x^(2)+bx+3=0 is thrice the other t...

    Text Solution

    |

  16. If alpha, beta are the roots of the equation (x-a)(x-b)=5 then the roo...

    Text Solution

    |

  17. If alpha, beta are roots of the equation ax^(2)+bx+c=0 then the value...

    Text Solution

    |

  18. If z= re^(i theta)" then "|e^(iz)|=

    Text Solution

    |

  19. i^(2)+i^(4)+i^(6)+"…………up to "(2k+1) terms, k in N is

    Text Solution

    |

  20. If z=sqrt(2)- isqrt(2) si rotated through an angle 45^(@) in the anti-...

    Text Solution

    |