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Mathematics
Mathematics
Problem
Two points
P
P
P
and
Q
Q
Q
are given,
R
R
R
is a variable point on one side of the line
P
Q
PQ
P
Q
such that
∠
R
P
Q
−
∠
R
Q
P
\angle RPQ - \angle RQP
∠
R
P
Q
−
∠
R
QP
is a positive constant
2
α
2\alpha
2
α
. Find the locus of the point
R
R
R
.
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