Question

If z=x+iy and |z|=1 then find the locus of z​

Answer 1

ANSWER

Substitucting z=x+iy

⇒∣x+iy−ai∣=∣x+iy+ai∣

⇒x

2

+(y−a)

2

=x

2

+(y+a)

2

⇒2ay=0

⇒y=0

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