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Shape and Space
Statistics and Probability
N.B. if a point P is ‘equidistant’ from two points A and B, then the distance between P and A is the same as the distance between P and B, as illustrated here:
The points on the line are equidistant from A and B
Don’t let the term 'locus' put you off. Questions on loci (which is the plural of locus) often don’t use the term.
The diagram shows two points P and Q. On the diagram shade the region which contains all the points which satisfy both the following: the distance from P is less than 3cm, the distance from P is greater than the distance from Q.
All of the points on the circumference of the circle are 3cm
from P. Therefore all of the points satisfying the condition that the distance
from P is less than 3cm are in the circle.