Home
Class 12
MATHS
The complex number z which satisfies the...

The complex number z which satisfies the condition `|(i+z)/(i-z)|=1` lies on the (i) y -axis (ii) x-axis (iii) line x+y=1 (iv) circle `x^(2)+y^(2)=1 `

A

circle ` x^(2) + y^(2) = 1`

B

the X-axis

C

the Y-axis

D

the line x + y = 1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise LEVEL - 1|90 Videos

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|50 Videos

  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

The complex number which satisfies the condition |(i+z)/(i-z)|=1\ lies on a. circle \x^2+y^2=1 b. the x-axis c. the y-axis d. the line x+y=1

The complex numbers z=x+iy which satisfy the equation |(z-5i)/(z+5i)|=1 lie on (a) The x-axis (b) The straight line y=5 (c) A circle passing through the origin (d) Non of these

The complex number which satisfies the condition |(i+z)/(i-z)|=1\ lies on a. c i r c l e\ x^2+y^2=1 b. t h e\ x-a xi s c. t h e\ y-a xi s d. t h e\ l in e\ x+y=1

If complex number z=x +iy satisfies the equation Re (z+1) = |z-1| , then prove that z lies on y^(2) = 4x .

If the complex number z=x+i y satisfies the condition |z+1|=1, then z lies on (a)x axis (b) circle with centre (-1,0) and radius 1 (c)y-axis (d) none of these

If z is a complex number satisfying the relation |z+ 1|=z+2(1+i) , then z is

Find the number of complex numbers which satisfies both the equations |z-1-i|=sqrt(2)a n d|z+1+i|=2.

The complex number z satisfying |z+bar z|+|z-bar z|=2 and |iz-1|+|z-i|= 2 is/are A) i B) -i C) 1/i D) 1/(i^3)

Let a , b ,xa n dy be real numbers such that a-b=1a n dy!=0. If the complex number z=x+i y satisfies I m((a z+b)/(z+1))=y , then which of the following is (are) possible value9s) of x?| -1-sqrt(1-y^2) (b) 1+sqrt(1+y^2) -1+sqrt(1-y^2) (d) -1-sqrt(1+y^2)

A variable complex number z=x+iy is such that arg (z-1)/(z+1)= pi/2 . Show that x^2+y^2-1=0 .

VMC MODULES ENGLISH-COMPLEX NUMBERS -JEE ARCHIVE
  1. The complex number z which satisfies the condition |(i+z)/(i-z)|=1 lie...

    Text Solution

    |

  2. A complex number z is said to be unimodular if abs(z)=1. Suppose z(1) ...

    Text Solution

    |

  3. If z is a complex number such that |z|geq2 , then the minimum value...

    Text Solution

    |

  4. Let complex numbers alpha and 1/alpha lies on circle (x-x0)^2+(y-y0)^2...

    Text Solution

    |

  5. Let z be a complex number such that the imaginary part of z is nonz...

    Text Solution

    |

  6. Let z = x + iy be a complex number where x and y are integers. Then...

    Text Solution

    |

  7. If |z|=1a n dz!=+-1, then all the values of z/(1-z^2) lie on a line no...

    Text Solution

    |

  8. If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition tha...

    Text Solution

    |

  9. If |z|=1 and w=(z-1)/(z+1) (where z!=-1), then R e(w) is 0 (b) 1/(|...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. Let S=S1 nn S2 nn S3, where s1={z in C :|z|<4}, S2={z in C :ln[(z-...

    Text Solution

    |

  13. Let S=S1 nn S2 nn S3, where s1={z in C :|z|<4}, S2={z in C :ln[(z-...

    Text Solution

    |

  14. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  15. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  16. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  17. about to only mathematics

    Text Solution

    |

  18. If z is complex number of unit modulus and argument theta then arg ...

    Text Solution

    |

  19. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+tz(2...

    Text Solution

    |

  20. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...

    Text Solution

    |

  21. A man walks a distance of 3 units from the origin towards the North-...

    Text Solution

    |