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Question

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


A

2

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B

0

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C

-1

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D

1

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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.


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