wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If 2z13z2 is a purely imaginary number, then ∣∣z1−z2z1+z2∣∣ =
[MP PET 1993]

A

3/2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
2/3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
4/9
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

1


As given, let 2z13z2=iyorz1z2=32iy, so that
z1z2z1+z2=∣ ∣z1z21z1z2+1∣ ∣=32iy132iy+1=132iy1+32iy=1 |z|=|¯z|


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Geometric Representation and Trigonometric Form
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon