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Mathematics
Mathematics
Problem
Points
X
,
Y
,
Z
X, Y, Z
X
,
Y
,
Z
lie on a circle such that
∠
X
Y
Z
=
90
∘
\angle XYZ = 90^\circ
∠
X
Y
Z
=
9
0
∘
. Prove that
X
Z
XZ
X
Z
is a diameter of the circle.
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