Question

Question 2
Write True or False and justify your answer :​​​​​​​
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Two chords AB and AC of a circle with the centre O are on the opposite sides of OA. Then $\angle OAB=\angle OAC$.

Answer 1

False

In the figure, AB and AC are two chords of a circle.
Join OB and OC.

$In\Delta OABand\Delta OAC$
OA = OA [common sides]
OB = OC [both are the radius of circle]
Here, we are not able to show that either any angle or the third side is equal.
Hence $\Delta OAB$ is not congruent to $\Delta OAC$
$\angle OAB\ne \angle OAC$