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Question - Theorem - Tangent at Any Point to the Circle is Perpendicular to the Radius

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ConceptTheorem - Tangent at Any Point to the Circle is Perpendicular to the Radius  

Question

In Fig. 7, two equal circles, with centres O and O’, touch each other at X. OO’ produced meets the circle with centre O’ at A. AC is tangent to the circle with centre O, at the point C. O’D is perpendicular to AC. Find the value of `(DO')/(CO')`

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