A circle can have how many parallel tangents at the most?

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answer is B.

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Detailed Solution

Concept: A tangent to a circle is really a straight line that touches or intersects the circle only once. All points on a plane that are at a specific distance from a specific point, the centre, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
The radius to the point of contact with the circle would be perpendicular to the tangent line for each tangent to a circle.
So, two parallel tangents imply that their contact radii form a perfect diameter. One such diameter intersects the circle at two points.
Therefore, a circle could only have two parallel tangents, one at a point on it and the other diametrically opposite it.
Hence, the correct answer is option (2)

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