Question

How many tangents to a given circle, can we draw parallel to a given line?

(a) 1

(b) 2

(c) 3

(d) 4

I have been asked this question in examination.

My doubt is from Drawing Tangents and Normals for Different Conditions of Circle in division Geometrical Construction of Engineering Drawing

Answer 1

Correct answer is (b) 2

To explain: We can draw two tangents to a given circle which will be parallel to a given line. The given line can be outside or inside the circle but we can draw two parallel lines tangent to the circle. Both the lines will touch the circle at one and only one point respectively.