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Mathematics
Mathematics
Problem
In a circle with centre
O
O
O
, point
M
M
M
is the midpoint of chord
P
Q
PQ
P
Q
. Which one of the following must be true? a)
O
P
=
O
Q
OP = OQ
O
P
=
O
Q
only if
∠
P
O
Q
=
90
∘
\angle POQ = 90^{\circ}
∠
P
O
Q
=
9
0
∘
b)
O
M
OM
O
M
bisects
∠
P
O
Q
\angle POQ
∠
P
O
Q
c)
O
M
⊥
P
Q
OM \perp PQ
O
M
⊥
P
Q
d)
O
M
OM
O
M
is a tangent to the circle
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