The tangents drawn at the ends of a diameter of a circle are parallel. Let's understand why this is the correct answer.

Understanding Tangents and Diameter:
- A tangent is a line that touches a circle at exactly one point, called the point of tangency.
- The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle.

Properties of Tangents:
1. A tangent to a circle is perpendicular to the radius drawn to the point of tangency.
2. If a line is drawn from the center of a circle to the point of tangency, it is perpendicular to the tangent line.

Explaining the Tangents Drawn at the Ends of a Diameter:
To understand why the tangents drawn at the ends of a diameter are parallel, let's consider the following scenario:

1. Draw a circle and a diameter within it.
2. Draw two tangents from the endpoints of the diameter to the circle.
3. Since the diameter passes through the center of the circle, the tangents will intersect the circle at two different points.
4. According to the properties of tangents mentioned above, the radius drawn to the point of tangency is perpendicular to the tangent line.
5. As the tangents are drawn from the endpoints of the diameter, the radius drawn to the point of tangency will be perpendicular to the diameter as well.
6. Since the tangents are perpendicular to the diameter, they are also perpendicular to each other.
7. Two lines that are perpendicular to the same line are parallel to each other.
8. Therefore, the tangents drawn at the ends of a diameter of a circle are parallel.

Conclusion:
The correct answer is option 'D', the tangents drawn at the ends of a diameter of a circle are parallel. This can be understood by considering the properties of tangents and the fact that the tangents are perpendicular to the diameter of the circle.

If the tangents are drawn at the ends of a diameter of a circle, then they will be PARALLEL to each other...