Question

prove that the tangents at the end points of a diameter are parallel​

Answer 1

Step-by-step explanation:

Given:In c(o, r)

XY and X'Y' are tangents,

A and B are point of contact,

OA=OB

To prove:XY is parallel to X'Y'

Proof:we know that

OA is perpendicular to XY,

and OB is perpendicular to X'Y'

Angle XAO =Angle X'BO (each 90°)

hence,XY is perpendicular to X'Y'

Answer 2

Step-by-step explanation:

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

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