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Mathematics
Mathematics
Problem
In a circle with centre
O
O
O
,
O
M
OM
O
M
is perpendicular to chord
A
B
AB
A
B
at point
M
M
M
. Which of the following statements is always true? a)
∠
A
O
B
=
90
∘
\angle AOB = 90^{\circ}
∠
A
O
B
=
9
0
∘
b)
A
M
=
M
B
AM = MB
A
M
=
M
B
c)
A
B
=
2
O
M
AB = 2\,OM
A
B
=
2
O
M
d)
A
M
=
M
B
=
O
M
AM = MB = OM
A
M
=
M
B
=
O
M
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