Question

draw a circle of diameter 7.7 cm construct two tangents to the circle at the end points of the diameter.​

Answer 1

Let AB be a diameter of the circle. Two tangents PQ and RS are drawn at points A and B respectively. Radius drawn to these tangents will be perpendicular to the tangents. Thus, OA I RS and OB I PQ ZOAR = 90° ZOAS = 90° ZOBP = 90° ZOBQ = 90° It can be observed thatangleOBQ = 90° It can be observed that angleOAR = angleOBQ (Alternate interior angles) angleOAS = angleOBP (Alternate interior angles) Since alternate interior angles are equal, lines PQ and RS will be parallel.