Home
Class 11
MATHS
The locus of point z satisfying Re(1/z)=...

The locus of point z satisfying `Re(1/z)=k`, where k is a non-zero real number is

A

a straight line

B

a circle

C

an ellipse

D

a hyperbola

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos
  • COMPLEX NUMBERS

    PATHFINDER|Exercise QUESTION BANK|67 Videos

Similar Questions

Explore conceptually related problems

The locus of the point z satisfying are ((z-1)/(z+1))=k (where I is non-zero) is a-

The locus of z=x+iy satisfying |(z-i)/(z+i)|=1

The locus of z=x+iy satisfying |(z-i)/(z+i)|=2

The locus of the point of intersection of the straight lines (x)/(a) + (y)/(b) = k and (x) /(a) - (y)/(b) = 1/k where k is a non-zero real variable is given by

The locus of z=x+iy satisfying |(z-i)/(z+i)|=3 then find the radious of the circle

Find the locus of point z if z , i ,and iz , are collinear.

The equation sinx(sinx+cosx)=k has real solutions, where k is a real number, Then

The locus of the point of intersection of the straight lines (x)/(a)+(y)/(b)=K and (x)/(a)-(y)/(b)=(1)/(K) , where K is a non - zero real variable, is given by

If the system of linear equations 2x+2y+3z=a 3x-y+5z=b x-3y+2z=c where a,b and c are non-zero real numbers, has more than one solution, then

If z is complex number, then the locus of z satisfying the condition |2z-1|=|z-1| is (a)perpendicular bisector of line segment joining 1/2 and 1 (b)circle (c)parabola (d)none of the above curves

PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. If n is a positive integer, then, (1+isqrt3)^n+(1-isqrt3)^n=

    Text Solution

    |

  2. If absz1=absz2=absz3=1 and z1+z2+z3=0, then z1, z2, z3 are vertices of

    Text Solution

    |

  3. The locus of point z satisfying Re(1/z)=k, where k is a non-zero real ...

    Text Solution

    |

  4. If P represents z=x+iy in the argand plane and abs(z+1-i)=abs(z+i-1) t...

    Text Solution

    |

  5. If alpha/a+beta/b+gamma/c=1+i and a/alpha+b/beta+c/gamma=0, then the v...

    Text Solution

    |

  6. The number of solution of the system of equations Re(z^2)=0, absz=2 is

    Text Solution

    |

  7. z1, z2, z3 are three points lying on the circle absz=1 , maximum value...

    Text Solution

    |

  8. The system of equations abs(z+1-i)=sqrt2 ,absz=3 has

    Text Solution

    |

  9. If z1=a+ib and z2=c+id are complex numbers such that abs(z1)=abs(z2)=1...

    Text Solution

    |

  10. If z1 and z2 be two complex numbers such that abszle1, absz2le1, abs(z...

    Text Solution

    |

  11. If z^4=(z-1)^4, then the roots are represented in the Argand plane by ...

    Text Solution

    |

  12. Let z=1-t+isqrt(t^2+t+2), where t is real parameter. The locus of z in...

    Text Solution

    |

  13. If absz=min{abs(z-1), abs(z+1)}, then

    Text Solution

    |

  14. If z1 and z2 be two complex numbers such that abs(z1+z2)=abs(z1) +abs(...

    Text Solution

    |

  15. if z^2+z+1=0, then the value of (z+1/z)^2+(z^2+1/z^2)^2+(z^3+1/z^3)^2+...

    Text Solution

    |

  16. If omega is the imaginary cube root of 1 then prove that (a+bomega+com...

    Text Solution

    |

  17. If z1=a+ib and z2=c+id, a, b, c, dinR, be two complex numbers such tha...

    Text Solution

    |

  18. The sum of the series 2(omega+1)(omega^2+1)+3(2omega+1)(2omega^2+1)+...

    Text Solution

    |

  19. If abs(z-2-2i)=1, then the minimum value of absz is

    Text Solution

    |

  20. The point represented by the complex number 2-i is rotated about origi...

    Text Solution

    |