Question
Sun April 17, 2011 By: Theodosia Lourdes
 

What do you mean by a locus of a point? I have seen in some problems they ask to find the locus of the point, in that case what and how we have to find out?

Expert Reply
Mon April 18, 2011
Locus of a point:
 
The locus of a point is a path traced by a point satisfying a given condition.
For example the locus of a point at a fixed distance of 2 units from a point A, is a circle of radius 2 units with point A as the centre.
Thus the locus may be a straight line, circle, parabola or any other curve.
 
This locus can also be represented algebraically as an equation in x and y.
 
The equation of the above circle is x2 + y2 = 22
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