Home
Class 12
MATHS
Let A,B and C be three sets of complex n...

Let A,B and C be three sets of complex numbers as defined below: `{:(,A={z:Im(z) ge 1}),(,B={z:abs(z-2-i)=3}),(,C={z:Re(1-i)z)=3sqrt(2)"where" i=sqrt(-1)):}`
Let z be any point in `A cap B cap C`. Then, `abs(z+1-i)^(2)+abs(z-5-i)^(2)` lies between

A

TTT

B

T T F

C

T F T

D

F F F

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-I (Subjective Type Questions)|16 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-G( Integer Answer type Questions)|8 Videos
  • BINOMIAL THEOREM

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (section-J) Objective type question (Aakash Challengers Questions)|4 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J ( Aakash Challengers Questions )|16 Videos

Similar Questions

Explore conceptually related problems

Let A, B, C be three sets of complex number as defined below: A={z:Imge1}, B={z:|z-2-i|= 3},C:{z:Re((1-i)z)=sqrt(2)} The number of elements in the set AnnBnnC is

If |z-2i|lesqrt(2), where i=sqrt(-1), then the maximum value of |3-i(z-1)|, is

If z is a complex number which simultaneously satisfies the equations 3abs(z-12)=5abs(z-8i) " and " abs(z-4) =abs(z-8) , where i=sqrt(-1) , then Im(z) can be

The points A,B and C represent the complex numbers z_(1),z_(2),(1-i)z_(1)+iz_(2) respectively, on the complex plane (where, i=sqrt(-1) ). The /_\ABC , is

Let z be a non-real complex number lying on |z|=1, prove that z=(1+itan((arg(z))/2))/(1-itan((arg(z))/(2))) (where i=sqrt(-1).)

If the complex number z is to satisfy abs(z)=3, abs(z-{a(1+i)-i}) le 3 and abs(z+2a-(a+1)i) gt 3 , where i=sqrt(-1) simultaneously for atleast one z, then find all a in R .

The complex numbers z_(1),z_(2),z_(3) stisfying (z_(2)-z_(3))=(1+i)(z_(1)-z_(3)).where i=sqrt(-1), are vertices of a triangle which is

If (z+1)/(z+i) is a purely imaginary number (where (i=sqrt(-1) ), then z lies on a

let A & B be two set of complex number defined by A= { z: |z|=12} and B={z:|z-3-4i|=5} . Let z_1 epsilon A and z_2 epsilon B then the value of |z_1-z_2| necessarily lies between (A) 3 and 15 (B) 0 and 22 (C) 2 and 22 (D) 4 and 14

Let z_1=10+6i and z_2=4+6idot If z is any complex number such that the argument of ((z-z_1))/((z-z_2)) is pi/4, then prove that |z-7-9i|=3sqrt(2) .