Question

For any two complex numbers 

Solution

Correct option is

We have

    

                                                      [∵ a and b are real number]

SIMILAR QUESTIONS

Q1
Q2

Shaded region is given by

                                                         

Q3

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

Q4

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

 

Q5
Q6

Let a, b, c be three points lying on the circle  

Q7

A particle P starts from the point It moves first horizontally away from the origin by 5 units and then vertically away from the origin by 3 units to reach a point z1. From z1 the particle moves  units in the direction of   and then its moves through an angle  in the anticlockwise direction on a circle with centre at origin, to reach point z2. The point z2 is given by

Q8

If the roots of complex cube root of unity) are plotted in the argand plane, then these roots lie on

Q9

The locus of z satisfying the inequality