Question

If z1z2z3 are complex numbers such that  

   

Solution

Correct option is

Equal to 1

  

Now,  

        

SIMILAR QUESTIONS

Q1

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

  

Q3
Q4

For all complex numbers z1z2 satisfying , the minimum value of 

Q5

, show that z1z2z3 are the vertices of an equilateral triangle inscribed in a unit circle. 

Q6

The complex numbers z1, z2 and z3 satisfying  are the vertices of a triangle which is

Q7

 

Find the complex numbers z which simultaneously satisfy the equation  

                     .

Q8
Q9

For any complex number z, the minimum value of  is 

Q10

 equals