Home
Class 12
MATHS
The set {R e((2i z)/(1-z^2)): zi sacom p...

The set `{R e((2i z)/(1-z^2)): zi sacom p l e xnu m b e r ,|z|=1,z=+-1}` is________.

A

`(-infty,-1] cap [1,infty)`

B

`(-infty,0) cup (0,infty)`

C

`(-infty,-1] cup [1,infty)`

D

`[2,infty)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Complex Number Exercise 8|2 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Complex Number Exercise 7|11 Videos

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

Let z_1a n dz_2 be two distinct complex numbers and let z=(1-t)z_1+t z_2 for some real number t with 0 |z-z_1|+|z-z_2|=|z_1-z_2| (z-z_1)=(z-z_2) |z-z_1 z -( z )_1z_2-z_1( z )_2-( z )_1|=0 a r g(z-z_1)=a r g(z_2-z_1)

if z_(1) = 3i and z_(2) =1 + 2i , then find z_(1)z_(2) -z_(1)

Let z be not a real number such that (1+z+z^2)//(1-z+z^2) in R , then prove tha |z|=1.

If z!=0 is a complex number, then prove that R e(z)=0 rArr Im(z^2)=0.

If z lies on the circle I z l = 1, then 2/z lies on

A relation R on the set of complex numbers is defined by z_1 R z_2 if and only if (z_1-z_2)/(z_1+z_2) is real Show that R is an equivalence relation.

Let the altitudes from the vertices A, B and Cof the triangle e ABCmeet its circumcircle at D, E and F respectively and z_1, z_2 and z_3 represent the points D, E and F respectively. If (z_3-z_1)/(z_2-z_1) is purely real then the triangle ABC is

Which of the following is correct for any tow complex numbers z_1a n dz_2? |z_1z_2|=|z_1||z_2| (b) a r g(z_1z_2)=a r g(z_1)a r g(z_2) (c) |z_1+z_2|=|z_1|+|z_2| (d) |z_1+z_2|geq|z_1|+|z_2|

If |z-1|-1,t h e n a r g((z-1-i)//z) can be equal to pi//4 (z-2)//z is purely imaginary number (z-2)//z is purely real number If a rg(z)=theta,w h e r ez!=0a n dtheta is acute, then 1-2//z=it a ntheta

If z_1, z_2 are two complex numbers (z_1!=z_2) satisfying |z_1^2-z_2^2|=| z_ 1^2+ z _2 ^2-2( z _1)( z _2)| , then a. (z_1)/(z_2) is purely imaginary b. (z_1)/(z_2) is purely real c. |a r g z_1-a rgz_2|=pi d. |a r g z_1-a rgz_2|=pi/2

ARIHANT MATHS ENGLISH-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

    Text Solution

    |

  2. If z is any complex number satisfying abs(z-3-2i) le 2, where i=sqrt(-...

    Text Solution

    |

  3. The set {R e((2i z)/(1-z^2)): zi sacom p l e xnu m b e r ,|z|=1,z=+-1}...

    Text Solution

    |

  4. The maximum value of |a r g(1/(1-z))|for|z|=1,z!=1 is given by.

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. Let alpha and beta be real numbers and z be a complex number. If z^(2...

    Text Solution

    |

  7. If omega is a cube root of unity and (1+omega)^7=A+Bomega then find th...

    Text Solution

    |

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

    Text Solution

    |

  9. If z ne 1 and (z^(2))/(z-1) is real, then the point represented by the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Let w = (sqrt 3/2 + iota/2) and P = { w^n : n = 1,2,3, ..... }, Furthe...

    Text Solution

    |

  13. Express in the form of complex number if z=i^(-39)

    Text Solution

    |

  14. Express in the form of complex number (1-i)^4

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Let omega ne 1 be a complex cube root of unity. If (3-3omega+2omega^(2...

    Text Solution

    |

  18. For any integer k , let alphak=cos(kpi)/7+isin(kpi)/7,w h e r e i=sqrt...

    Text Solution

    |

  19. A value of theta for which (2+3i sin theta)/(1-2i sintheta) purely ima...

    Text Solution

    |

  20. Let 0 ne a, 0 ne b in R. Suppose S={z in C, z=1/(a+ibt)t in R, t ne ...

    Text Solution

    |