Home
Class 12
MATHS
Let omega ne 1 be a complex cube root of...

Let `omega ne 1` be a complex cube root of unity. If `(3-3omega+2omega^(2))^(4n+3) + (2+3omega-3omega^(2))^(4n+3)+(-3+2omega+3omega^(2))^(4n+3)=0`, then the set of possible value(s) of n is are

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
Promotional Banner

Similar Questions

Explore conceptually related problems

If omega(ne1) is a cube root of unity, then (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8)) …upto 2n is factors, is

If omega is a non-real complex cube root of unity, find the values of (1+omega)(1+omega^(2) )(1+omega^(4))(1+omega^(8)) ...upto 2n factors

Let omega be a complex number such that 2omega+1=z where z=sqrt(-3) . If |{:(1,1,1),(1,-omega^(2)-1,omega^(2)),(1,omega^(2),omega^(7))|=3k , then k is equal to

If omega(ne 1) be a cube root of unity and (1+omega)^(7)=A+Bomega , then A and B are respectively the numbers.

if omegaa n domega^2 are the nonreal cube roots of unity and [1//(a+omega)]+[1//(b+omega)]+[1//(c+omega)]=2omega^2 and [1//a+omega^2]+[1//b+omega^2]+[1//c+omega^2]=2omega^ , then find the value of [1//(a+1)]+[1//(b+1)]+[1//(c+1)]dot

If 1,omega,omega^(2),...omega^(n-1) are n, nth roots of unity, find the value of (9-omega)(9-omega^(2))...(9-omega^(n-1)).

If omega = z//[z-(1//3)i] and |omega| = 1 , then find the locus of z.

Using the property of determinants and without expanding prove the following |{:(1,omega^n,omega^(2n)),(omega^(2n),1,omega^n),(omega^n,omega^(2n),1):}|=0 where omega is a cube root of unity

If 1,omega,omega^(2) are the cube roots of unity, then the roots of the equation (x-1)^(3)+8=0 are