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

-1+-32100+-1--3)2100is equal to


A

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

0

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

-1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C

-1


Explanation for the correct answer:

Step 1. Find the value of given expression:

1+32100+132100

Let 1+i32=ω

and 13i2=ω2

where, ω is cube root of unity

Step 2. Put the values of -1+-32100and -1-32100in given equation:

1+32100+132100

=1+3i2100+13i2100 i=-1

=ω100+ω200

=ω+ω2 ω3=1and1+ω+ω2=0

=1

Hence, Option ‘C’ is Correct.


flag
Suggest Corrections
thumbs-up
4
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
What Is a Good Fuel?
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon