Question

Find the locus of z if it is given.
|z-2|
------------ = 1
|z-3|​

Answer 1

Answer:

Given ∣z−2−3i∣=1

Put z=x+iy

⇒∣(x−2)+i(y−3)∣=1

Modulus of (x−2)+i(y−3) is

(x−2)

2

+(y−3)

2

⇒

(x−2)

2

+(y−3)

2

=1

⇒(x−2)

2

+(y−3)

2

=1

Hence, the locus is a circle in complex plane with centre (2,3)and radius 1 unit