Home
Class 12
MATHS
The locus of the point satisfying the co...

The locus of the point satisfying the condition amp. `((z-1)/(z+1))=(pi)/(3)` is

A

st.line passing through origin

B

circle

C

parabola

D

a st.line not passing through origin

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Latest Questions from AJEE/JEE examinations|10 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Questions from karnataka CET & COMED|15 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Questions from karnataka CET & COMED|15 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos
  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

The locus of the point z satisfying arg ((z-1)/(z+1))=k , (where k is non zero) is

The maximum value of |z| when z satisfies the condition |z+(2)/(z)|=2 is

The complex number z , which satisfies the condition |(1+z)/(1-z)|=1 lies on

The image of the point (1,6,3) in the line x/1=(y-1)/2=(z-2)/3 is

The image of the point (1,6,3) in the line x/1=(y-1)/2=(z-2)/3 is

If z_(1),z_(2) are two complex numbers satisfying the equation : |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 , then (z_(1))/(z_(2)) is a number which is

If w=alpha+ibeta , where beta ne 0 and z ne 1 , satisfies the condition that ((w-barwz)/(1-z)) is purely real, then the set of values of z is

The locus of z , which satisfies the inequality log_(0.3)|z-1| gt log_(0.3)|z-i| is given by :

If the imaginary part of (2z+1)/(iz+1) is -2 , then the locus of the point representing z in the complex plane is

The complex number z which satisfies the Equation |(i+z)/(i-z)|=1 lies on

MODERN PUBLICATION-COMPLEX NUMBERS-Multiple Choice Questions (Level-II)
  1. The points z(1),z(2),z(3),z(4) in complex plane are the vertices of a ...

    Text Solution

    |

  2. If z=x+iy and w=(1-iz)/(1+iz) , then |w|=1 implies that, in the comple...

    Text Solution

    |

  3. The locus of the point satisfying the condition amp. ((z-1)/(z+1))=(pi...

    Text Solution

    |

  4. If the imaginary part of (2z+1)/(iz+1) is -2, then the locus of the po...

    Text Solution

    |

  5. If |z| lt 4, then |iz+3-4i| is less than :

    Text Solution

    |

  6. The equation not representing a circle is given by

    Text Solution

    |

  7. If alpha+ibeta=tan^(-1)z, z=x+iy and alpha is constant, then locus of ...

    Text Solution

    |

  8. If omega is an imaginary cube root of unity, then the value of (1)/(1+...

    Text Solution

    |

  9. In complex plane, the equation |z+barz|=|z-barz| represents:

    Text Solution

    |

  10. The complex plane of z=x+iy, which satisfies the equation |(z-5i)/(z+5...

    Text Solution

    |

  11. If |z(1)|=|z(2)|=|z(3)|=1 and z(1)+z(2)+z(3)=0 , then z(1),z(2),z(3) a...

    Text Solution

    |

  12. (cos2theta+isin2theta)^(-5)(cos3theta-isin3theta)^(6)(sintheta-icosthe...

    Text Solution

    |

  13. If z(1)=9y^(2)-4-10ix, z(2)=8y^(2)+20i, where z(1)=z(2) , then z=x+iy ...

    Text Solution

    |

  14. If 1+x^(2)=sqrt(3)x, then sum(n=1)^(24)(x^(n)-(1)/(x^(n)))^(2) equals

    Text Solution

    |

  15. If |z(1)|=|z(2)|=|z(3)|=|z(4)|, then the points representing z(1),z(2)...

    Text Solution

    |

  16. If z(1),z(2),z(3) represent the vertices of an equilateral triangle su...

    Text Solution

    |

  17. If alpha,beta are two complex numbers such that |alpha|=1, |beta|=1, t...

    Text Solution

    |

  18. If ((a+ib)^(2))/(a-ib)-((a-ib)^(2))/(a+ib)=x+iy, then x equals

    Text Solution

    |

  19. If alpha is the nth root of unity then 1+2alpha+3alpha^(2)+..............

    Text Solution

    |

  20. If (pi)/(2) lt alpha lt (3pi)/(2), the modulus and argument form of (1...

    Text Solution

    |