Question

x^(2)+y^(2)+Z^(2)-9=0, x^()-y^()+Z^()=3 is

Answer 1

Answer:

Step-by-step explanation:

Given z=x+iy.

Also given  

∣z+6∣=∣2z+3∣

or, ∣(x+6)+iy∣=∣(2x+3)+2iy∣

or,  

(x+6)  

2

+(y)  

2

 

​

=  

(2x+3)  

2

+(2y)  

2

 

​

 

or, (x+6)  

2

+y  

2

=(2x+3)  

2

+4y  

2

 

or, 3x  

2

+3y  

2

=27

or, x  

2

+y  

2

=9.