Question

Let z1 and z2 be nth roots of unity which subtend a right angle at the origin. Then n must be of the form

  

Solution

Correct option is

4k

  

                  

 where r varies from 0 to n – 1 and each root is unimodular as   

,   

.  

    

.

SIMILAR QUESTIONS

Q1

The smallest integer for which  is

Q3

are the cube roots of p, p < 0, then for any x, y and z,  

Q4

Solve it 

Q5

Find all the values of the given root:

            

Q6

 are the n, nth roots of unity, 

Q7

If ω is fifth root of unity, then  

     

Q8

, then find the equation whose roots are p and q.

Q9

Find the roots of the equation , whose real part is negative.