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Byju's Answer
Standard X
Mathematics
Basic Properties of a Circle
Two chords AB...
Question
Two chords AB and AC of a circle with centre O are on the opposite sides of OA. If angle AOB = angle AOC , then prove that AB=AC and angle OAB = angle OAC.
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Q.
State true or false
Two chords AB and AC of a circle with centre O are on the opposite sides of OA Then
∠
O
A
B
=
∠
O
A
C
Q.
Question 2
Write True or False and justify your answer :
Two chords AB and AC of a circle with the centre O are on the opposite sides of OA. Then
∠
O
A
B
=
∠
O
A
C
.
Q.
Two chords
A
B
and
A
C
of a circle subtends angles equal to
90
o
and
150
o
, respectively at the centre. Find
∠
B
A
C
, if
A
B
and
A
C
lie on the opposite sides of the centre.
Q.
Fill In The Blanks
If two equals chords AB and AC of a circle with centre O are on the opposite sides of OA, then ∠
OAB = ____________ .
Q.
Question 9
Two chords AB and AC of a circle subtends angles equal to
90
∘
a
n
d
150
∘
respectively at the centre. Find
∠
B
A
C
, if AB and AC lie on the opposite sides of the centre.
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