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

If |z|=1 and z1 z3z2 z3= ziz+i then z1, z2, z3 will be vertices of a

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

The correct option is C right triangle
As |z|=1 lies on circle, so I and -I are extremities of this circle.

So, arg (ziz+i) = ±π2 ziz+i is purely imaginary
z1,z2,z3 represents vertices of right angled triangle

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon