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In a circle with centre
MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles
Problem
In a circle with centre
O
O
O
, a line segment
O
D
OD
O
D
is drawn perpendicular to chord
B
C
BC
B
C
at
D
D
D
. Which statement is always true? (a)
∠
B
O
C
=
90
∘
\angle BOC = 90^{\circ}
∠
B
O
C
=
9
0
∘
(b)
B
C
=
2
O
D
BC = 2\,OD
B
C
=
2
O
D
(c)
B
D
=
D
C
BD = DC
B
D
=
D
C
(d)
B
D
=
O
C
BD = OC
B
D
=
O
C
Related theory
Chord Properties
Circles
Perpendicular from centre to a chord
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