Logarithm of a Complex Number
Trending Questions
Q.
Find the value of i.ii is _______.
Q.
If z = ii . Express logez in A+iB form.Find the value of A and B.
A =
, B =
A = 0 , B =
A =
, B = 0
A =
, B =
Q.
What is the value of sin(logeii) ?
0
1
-1
2
Q.
The locus of z satisfying the inequality log13|z+1| > log13|z-1| is
None of these
R(z)<0
R(z)>0
I(z)<0
Q.
Find the general value of loge(i).
n
I
n
I
n
I
n
I
Q. The expression tan(iloge(2−3i2+3i)) is equal to
- −123
- −32
- −125
- 0
Q. The value of log2(−3) is
- log3+2iπlog2
- log2−iπlog3
- log3+iπlog2
- log2+iπlog3
Q. The value of log(ii) is
- −π2
- π2
- −π
- π
Q. The general value of log(1+i)+log(1−i) is
- log2+i2kπ, k∈Z
- log√2+i2kπ, k∈Z
- 2log2+i2kπ, k∈Z
- log3+i2kπ, k∈Z
Q. If z=(1−i)−i, then the correct option(s) is/are
- Re(z)=e−π4cos(log2)
- Im(z)=−e−π4sin(12log2)
- Im(z)=−e−π4sin(log2)
- Re(z)=e−π4cos(12log2)