Question

A straight line parallel to asymptote intersects the hyperbola at only one point.

(a) True

(b) False

I had been asked this question in an international level competition.

I need to ask this question from Construction of Hyperbola in section Geometrical Construction of Engineering Drawing

Answer 1

Right answer is (a) True

For explanation I would say: A straight line parallel to asymptote intersects the hyperbola at only one point. This says that the part of hyperbola will lay in between the parallel lines through outs its length after intersecting at one point.