Home
Class 11
MATHS
If z=|a + b omega+ c omega^(2)|, where o...

If `z=|a + b omega+ c omega^(2)|`, where `omega` is a cube root of unity and `a, b, c in` {1, 2, 3, …10}, then the number of ordered triplets (a,b,c) for which z=1 is

A

18

B

30

C

10

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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

If omegane1 is a cube root of unity , then the value of |(1,1+i+w^2,w^2),(1-i,-1,w^2 -1),(-i,-1+w-i,-1)| , is

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 omega be the complex cube root of unity and matrix H=[(omega,0),(0,omega)] , then H^(70) is equal to a)0 b)-H c)H d) H^(2)

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

If x, y, z are natural numbers such that cot^(-1) x + cot^(-1)y= cot^(-1) z then the number of ordered triplets (x, y, z) that satisfy the equation is a)0 b)1 c)2 d)infinite solutions

The value of (2 - omega) (2- omega ^(2)) (2-omega^(10)) (2- omega ^(11)) where omega is the complex cube root of unity, is : a)49 b)50 c)48 d)47

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

If |z - (3)/(z)| = 2 , then the greatest value of |z| is a)1 b)2 c)3 d)4