Question

a+
1 If z= x+iy and |z + 6|= |2z + 3|, prove that, x2 + y2 = 9​

Answer 1

Answer:

z^2+36+12z=4z^2+12z+9

3z^2-27=0

z^2=9

(x+iy)2=9

x^2-y^2 +2ixy=9+i×0

x^2-y^2=9 and 2xy=0 and xy=0