let A & B be two set of complex number defined by `A= { z: |z|=12} and B={z:|z-3-4i|=5}`. Which of the given statement(s) is (are) true? (A) `AsubeB` (B) `A=B=phi` (C) `AcapB!=phi` (D) `BsubeA`

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 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

Let Z_(1) and Z_(2) be two complex numbers satisfying |Z_(1)|=9 and |Z_(2)-3-4i|=4 . Then the minimum value of |Z_(1)-Z_(2)| is

Let A,B and C be sets such that phi ne A nn B sube C . Then which of the following statements is not true?

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

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={a,b,c,d} and B={x,y,z} . Which of the following are relations from A to B? {(a,x),(b,y),(c,z),z}

If B: {z: |z-3-4i|}=5 and C={z:Re[(3+4i)z]=0} then the number of elements in the set B intesection C is (A) 0 (B) 1 (C) 2 (D) none of these

Let Z be the set of all integers and A={(a,b):a^(2)+3b^(2)=28 ,a,b in Z} and B ={(a,b):a gt b in Z ) then the number of elements is A cap B , is

Let z in C and if A={z:"arg"(z)=pi/4} and B={z:"arg"(z-3-3i)=(2pi)/3} . Then n(A frown B)=