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The lines which touch the hyperbola at an infinite distance are ________

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The lines which touch the hyperbola at an infinite distance are ________

(a) Axes

(b) Tangents at vertex

(c) Latus rectum

(d) Asymptotes

The question was posed to me in examination.

Question is taken from Construction of Hyperbola topic in division Geometrical Construction of Engineering Drawing

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The correct choice is (d) Asymptotes

For explanation I would say: Axis is a line passing through the focuses of a hyperbola. The line which passes through the focus and perpendicular to the major axis is latus rectum. Tangent is the line which touches the curve at only one point.

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