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Chapter 10 Class 9 Circles
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Ex 10.2, 2 - Prove that if chords of congruent circles - Ex 10.2

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Ex 10.2, 2 Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal. Given: Two congruent circles C1 & C2 AB is the chord of C1 & PQ is the chord of C2 & AOB = PXQ To prove: Chords are equal, i.e., AB = PQ Proof: In AOB & PXQ AO = PX AOB = PXQ BO = QX AOB PXQ AB = PQ

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