Question

For all complex number z1 , z2 satisfying  the minimum value of

Solution

Correct option is

2

 implies that zlies on the circle with centre C1 at the origin and radius 12 whereas  implies z2­ lies on the circle with centre at C2 (3 + 4i) and radius 5. See fig. 1.42. The quantity will attained the least value 2 when z2 and zlie on the line joining C1 and C2i.e. on the line 

                                                                                 

 

In fact, when we take 

SIMILAR QUESTIONS

Q1

The number of solution of is

Q2

Let P and q be two complex numbers such that  If the roots of the question  have the same absolute value, then p/q is

Q5
Q6

For any complex number z, the minimum value of