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Question

Two chords AB and AC of a circle with centre O are on the opposite sides of OA. Then:

A
OAB=OAC.
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B
OABOAC.
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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 OABOAC.
Given-
AB & AC are chords of a circle with centre O.
They are to the opposite sides of OA.
To find out-
If OAB=OAC.
Solution-
OB & OC are joined.
Between ΔAOC & ΔAOB we have,
OB=OC .....(radii of the same circle).
But it is not sure whether AB=AC or not.
So, we cannot have SSS test for the congruency of the triangles.
OABOAC.

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