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Question

State True or False.
In the below figure, the length of BC= 4cm.

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Solution

False
Given that OABC.
Using Pythagoras' theorem in OAB, we have
OB2=OA2+AB2.
52=32+AB2
AB=4 cm
We know that the perpendicular drawn from the centre of a circle to the chord bisects the chord.
AB=AC
BC=2×AB=2×4=8 cm.

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