Question

In two concentric circles,prove that all chords of the outer circle which touches the inner circle are equal.




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Answer 1

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Answer 2

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Given: Two consecutive circles with centre O. AB,CD and EF are the chords of the outer circle.

To prove: AB = CD = EF.

Proof:

OP, OQ and OR are the distances of the chord AB,CD and EF from the centre.

But OP = OR = OQ = radius

Since the chords are at equal distances from the centre they are equal.

Hope it helps you