wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

If imaginary part of multiplicative inverse of 2+3i3+2i is ab, where a and b are coprime numbers, then

A
ba=8
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
a+b=8
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
a+b=13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
ba=18
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A ba=8
Let the multiplicative inverse be Z
Z×2+3i3+2i=1Z=12+3i3+2iZ=3+2i2+3i×23i23iZ=69i+4i6i222(3i)2Z=125i13Im(Z)=513a=5,b=13a+b=18, ba=8

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon