Question

If the points z, –iz and 1 are collinear then z lies on 

Solution

Correct option is

A circle

    

     

                                           [talking –i common from R2

   

                                    [using C1 → C1 – C3 and C2 → C2 – C3

   

   

    

   

    

Thus, z lies on a circle.

SIMILAR QUESTIONS

Q1
Q2

For all complex numbers z1z2 satisfying , the minimum value of 

Q3

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

Q4

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

Q5

 

Find the complex numbers z which simultaneously satisfy the equation  

                     .

Q6
Q7

For any complex number z, the minimum value of  is 

Q8

If z1z2z3 are complex numbers such that  

   

Q9

 equals

Q10

Simplify