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Byju's Answer
Standard IX
Mathematics
Equal Chords
Two chords ...
Question
Two chords
A
B
and
A
C
of a circle with centre
O
are on the opposite sides of
O
A
. Then:
A
∠
O
A
B
=
∠
O
A
C
.
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B
∠
O
A
B
≠
∠
O
A
C
.
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C
Cannot be determined
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D
None of the above
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Solution
The correct option is
B
∠
O
A
B
≠
∠
O
A
C
.
Given-
A
B
&
A
C
are chords of a circle with centre O.
They are to the opposite sides of OA.
To find out-
If
∠
O
A
B
=
∠
O
A
C
.
Solution-
O
B
&
O
C
are joined.
Between
Δ
A
O
C
&
Δ
A
O
B
we have,
O
B
=
O
C
.....(radii of the same circle).
But it is not sure whether
A
B
=
A
C
or not.
So, we cannot have SSS test for the congruency of the triangles.
∴
∠
O
A
B
≠
∠
O
A
C
.
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Similar questions
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.
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.
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.
Two circles C (O, r) and C (O', r') intersect at two points A and B and O lies on C(O', r'). A tangent CD is drawn to the circle C(O', r') at A. Then
Q.
AB is tangent to the circle with centre O at A and
O
A
=
A
B
Find
∠
O
A
B
.
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