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If A(z1) and B(z2) are two points in the Argand plane and P(z) moves in Argand plane in such a way that |z-z1|=|z-z2|, then locus of P is.... What exactly is meant by finding locus?? How to solve these locus problems?? What does P(z) mean here??

If A(z1) and B(z2) are two points in the Argand plane and P(z) moves in Argand plane in such a way that |z-z1|=|z-z2|, then locus of P is....
What exactly is meant by finding locus?? How to solve these locus problems?? What does P(z) mean here?? 

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1 Answers

Arun
25750 Points
5 years ago
In geometry, a locus (plural: loci) is a set of all points whose location satisfies or is determined
 
Coming to the question, locus will be perpendicular bisector of z1 and z2.
 
as |z-z1|=|z-z2| this menas that
z is at equal distance from z1 and z2. Hence it will on perpendicular bisector

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