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1700
Diameter Circle in a Rectangle
Editorial
geometry
coordinate geometry
circles
Let
A
B
C
D
ABCD
A
B
C
D
be a rectangle with
A
B
=
3
AB = 3
A
B
=
3
and
B
C
=
4
BC = 4
B
C
=
4
. Let
P
P
P
be the point on diagonal
A
C
AC
A
C
such that
B
P
⊥
A
C
BP \perp AC
B
P
⊥
A
C
. The circle with diameter
B
P
BP
B
P
intersects
A
B
AB
A
B
at
X
X
X
and intersects
B
C
BC
B
C
at
Y
Y
Y
. Find
X
Y
2
XY^2
X
Y
2
.
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