hi! I am having a problem understanding what locus actually mean? where do we use it?

1.there is one sum which was given as an example, I really did not understand what is the need for rotating and translating the plane in this sum. the sum is; Find the locus of points
PP
P such that the sum of the squares of the distances from
P P
P to
A A
A and from
P P
P to
B, B,
B, where
AA
A and
BB
B are two fixed points in the plane, is a fixed positive constant.

After rotating and translating the plane, we may assume that
A=(−a,0) A = (-a,0)
A=(−a,0) and
B=(a,0).B = (a,0).
B=(a,0). Suppose the constant is
c2, c^2,
c........what is the need for transformation of the axes

2.an iron rod of length 2l is sliding on two mutually perpendicular lines. find the locus of the midpoint of the rod. in this question the equation of locus is x^2+y^2=l^2, which is the equation of a circle but how does it form a circle.

if anyone could please answer it. thank you.

Note by Ananya Phadnis
2 months, 2 weeks ago

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