Geometrical Representation of a Complex Number
Trending Questions
Q. If z is a complex number such that |z|≥2, then the minimum value of ∣∣z+12∣∣
- Is strictly greater than 52
- Is strictly greater than 32but less than 52
- Is equal to 52
- Lies in the interval (1, 2)
Q. A man walks a distance of 3 units from the origin towards the north-east (N 45oE) direction. From there, he walks a distance of 4 units towards the north-west (N 45oW) direction to reach a point P. Then the position of P in the Argand plane is
- (3−4i)eiπ4
- 3eiπ4+4i
- (3+4i)eiπ4
- (4+3i)eiπ4
Q. Let S=S1∩S2∩S3, where
S1={z ϵ C:|z|<4}, S2={z ϵ C:Im [z−1+√3i1−√3i]>0} and S3={z ϵ C:Re(z)>0}.
Area of S=
S1={z ϵ C:|z|<4}, S2={z ϵ C:Im [z−1+√3i1−√3i]>0} and S3={z ϵ C:Re(z)>0}.
Area of S=
- 10π3
- 20π3
- 16π3
- 32π3
Q.
If the distance of two lines passing through origin from the point (x1, y1) is d, then the equation of lines is