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Answer:

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Step-by-step EXPLANATION:

→ Given:-  

→ O is the center of circle , AB is the DIAMETER, tangent CD at point C and                                 line BD is tangent at point B.

→ In this question we need to prove Segment OD parallel to Chord  AC

→ In provided figure-

→ In triangle DOC and AOC

→ ∠OCD = 90°  and ∠AOC = 90°    (Since  , angles are alternate interior angles)

THEREFORE, Segment OD parallel to Chord  AC

→ i.e, AC||OD

→ Hence proved



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