Home
Class 11
MATHS
If omega is a cube root of unity, then f...

If `omega` is a cube root of unity, then find
`(3+5omega+3omega^(2))^(2)+ (3 +3omega+5omega^(2))^(2)`

A

4

B

0

C

`-4`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If omega is an imaginary cube root of unity, then (1 + omega - omega^(2))^(7) is equal to

If omega is a complex cube root of unity, show that [[1 , omega, omega^2], [ omega, omega^2, 1],[ omega^2, 1, omega]] [[1],[ omega],[ omega^2]]=[[0],[ 0],[ 0]]

If omega is a complex cube root of unity, then value of Delta=|(a_(1)+b_(1)omega,a_(1)omega^(2)+b_(1),c_(1)+b_(1)omega),(a_(2)+b_(2)omega,a_(2)omega^(2)+b_(2),c_(2)+b_(2)omega),(a_(3)+b_(3)omega,a_(3)omega^(2)+b_(3),c_(3)+b_(3)omega)| is a)0 b)-1 c)2 d)None of these

If omega is a complex cube root of unity, then the value of sin{(omega^(10)+omega^(23))pi-(pi)/(6)} is a) (1)/(sqrt(2)) b) (sqrt(3))/(2) c) -(1)/(sqrt(2)) d) (1)/(2)

If a, b, c are integers, no two of them being equal and omega is complex cube root of unity, then minimum value of |a+b omega| + c omega^(2)| is

IF 1, omega , omega^2 are the cube roots of unity and if [{:(1+omega,2 omega),(-2 omega,-b):}]+[{:(a,-omega),(3 omega,2):}]=[{:(0, omega),(omega,1):}] then a^2+b^2 is equal to

Let omega ne 1 be cube root of unity and (1 + omega ) ^(7)= a + omega. Then the value of a is

The value of the expression 1.(2- omega)(2- omega^(2)) + 2.(3-omega) (3-omega^(2)) + …+ (n-1)(n- omega)(n- omega^(2)) , where omega is an imaginary cube root of unity is

If 1, omega_(1), omega_(2),…omega_(6) " are " 7^(th) roots of unity then Im (omega_(1) + omega_(2)+ omega_(4)) is equal to