If a line intersects two concentric circles (circles with the same centre) with centre O at A, B, C and D, prove that AB = CD (see Fig. 9.12).

Question

TextConcentric CirclesNCERT Textbook

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Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.

Prove that in two concentric circles, the chord of the larger circle, which touches the smaller circle, is bisected at the point of contact.

Theorem on Tangent Perpendicular to Radius at Point of Contact

Concentric Circles

Perpendicular from Centre Bisects the Chord