If ∗ is a binary operation in a set A, then for all a,b∈A
a+b∈A
a−b∈A
a×b∈A
a∗b∈A
If z=(1,3) then z−1=
(110,310)
(−110,310)
(110,−310)
(−110,−310)
32+2i=
1−i
1+i
−2i
3−3i4
¯z1+z2=
¯z1+¯z2
¯z1−¯z2
¯z1+z2
z1+¯z2
|z1+z2|
>|z1|+|z2|
≤|z1|+|z2|
≤z1+z2
>z1+z2
If z1=2+i, z2=1+3i, then z1−z2=
1−7i
−1+7i
1−2i
3+4i
If z1=2+i, z2=1+3i, then −ilm(z1−z2)=
2i
−2i
2
3
Which of the following sets has closure property with respect to multiplication?
{−1,1}
{−1}
{−1,0}
{0,2}
The multiplicative inverse of 2 is
0
1
−2
12