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

The value of ∣∣∣2+i2−i1+i1−i∣∣∣ is, where (i2=−1)

A
1i
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
purely imaginary
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
1+i
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
a real quantity
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B purely imaginary
We have,
2+i2i1+i1i=(2+i)(1i)(2i)(1+i)=22i+ii222i+i+i2=2i

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon