the centre of circle represented by mod(z+1)=2mod(z-1) is
Hello, prasum!
is the distance from to (-1,0).
is the distance from to (1,0).
Code:| P | o | * * * | * A * | * B - - o - - - - + - - - - o - - -1 | 1 |
We want points so that: .
[This is known as the Circle of Apollonius.]
We have: .
Square: .
which simplifies to: .
. . . . . . . . . . . . . . . .
Complete the square: .
. . . . . . . . . . . . . . . . . . . . .
Therefore, the circle has center radius