Modulus of a Complex Number
Trending Questions
Q.
Length of the line segment joining the points -1-i and 2+3i is
-5
15
5
25
Q. The distance between 3 + 4i and 6 + 8i is ___ units.
Q. Modulus of (3+2i3−2i) is
[RPET 1996]
[RPET 1996]
- 1/2
- 2
- 1
- √2
Q. If ∣∣Z−4Z∣∣=2 then the maximum value of |Z| is equal to
- 2
- √3+1
- 2+√2
- √5+1
Q.
If a, b, c are integers, not all simultaneously equal and ω is a cube root of unity (ω≠1), then the minimum value of ∣∣a+bω+cω2∣∣ is
- 1
- 0
- √32
- 12
Q. If |z2−1|=|z|2+1, then z lies on
- the real axis
- an ellipse
- a circle
- the imaginary axis
Q.
If iz3+z2−z+i=0, then |z| equals
3
2
1
4
Q. Let z and w be two complex numbers such that |z|≤1, |ω|≤1 and |z+iω|=|z−i¯ω|=2, then z equals
- 1 or i
- 1 or -1
- i or -i
- i or -1
Q. If z=x+iy and w=1−izz−i, then |w|=1 implies that, on the complex plane
- None of the above
- z lies on the unit circle
- z lies on the real axis
- z lies on the imaginary axis
Q.
If |z|=1 and ω=z−1z+1 (where, z≠−1), then Re (ω) is
√2|z+1|2
0
1|z+1|2
∣∣1z+1∣∣.1|z+1|2