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

If z is any complex number satisfying |z32i|2, then minimum value of |2z6+5i| is___

A
5
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
2.5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
4.5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
9
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 5
Given |z32i|2
which represents a circular region with centre (3, 2) and radius 2.
Now |2z6+5i|=2z(352i)
=2× distance of z from P
(where Z lies in or on the circle)
Also min distance of z from P=52
Minimum value of |2z6+5i|=5

flag
Suggest Corrections
thumbs-up
0
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