Q. 225.0( 1 Vote )

If |z + 1| = z +

Answer :

Given:


|z+1|=z+2(1+i)


Let us assume z=x+iy


|x+iy+1|=x+iy+2+2i



Equating Real and Imaginary parts on both sides


y+2=0


y=-2----------------(1)



(x+1)2+y2=(x+2)2


x2+2x+1+(-2)2=x2+4x+4


2x=1+4-4


2x=1


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