Question

Prove that the tangents drawn at the ends of a diameter of a circle are parallel​

Answer 1

≡QUESTION≡

Prove that the tangents drawn at the ends of a diameter of a circle are parallel​

                                                       

║⊕ANSWER⊕║

 OA ⊥ RS and OB ⊥ PQ

(Tangent at any point of circle is perpendicular to the radius through point of contact).

∠OAR = 90º

∠OAS = 90º

∠OBP = 90º

∠OBQ = 90º

=>

∠OAR = ∠OBQ (Alternate interior angles)

∠OAS = ∠OBP (Alternate interior angles)

Since alternate interior angles are equal, lines PQ and RS will be parallel

                                                   

Answer 2

Answer:

hope this will help u