Question

prove that the tangents drawn at a end of a diameter of a circle are parallel

Answer 1

this is your solution..

Answer 2

Step-by-step explanation:

Explanation:

AB is a diameter PQ and RA are the tangents drawn to the circle at point A & B OA &OB are the radius drawn at point of contact

therefore

OA perpendicular to PQ and OB PERPENDICULAR TO RS

ANGLE OAP≈ANGLE OAQ≈ANGLE OBR≈ANGLE OBS ≈90°

IN THE FIGURE

ANGLE OBR ≈ANGLE OAQ (ALTERNATE ANGLES)

ANGLE OBS≈ANGLE OAP (ALTERNATE ANGLES)

»PQ||RS

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