CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

If z and ¯¯¯z represent adjacent vertices of a regular polygon of n sides with centre at origin and if ImzRez=21, then the value of n is equal to

A
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
8
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 8
Now
Let z1 be the first vertex of the polygon in the first quadrant,
Hence
arg(z1)=2π8×12=π8. ...
(angle between two corresponding vertices will be 2πn, hence angle made by one vertex with the horizontal x-axis will be exactly half of it).

Im(z)Re(z) =tan(arg(z))

=tan(πn)

=21

Hence, πn=tan1(21)

πn=π8

Thus n=8.

Hence, the option 'D' is correct.

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