Question

The number of asymptotes of a curve of n'th degree is
a) Atleast one
b) Atlest n
c) Atmost n
d)None

Answer 1

Answer:

atmost n

Step-by-step explanation:

coz a curve cannot number of asymptotes more than its degree

Answer 2

The number of asymptotes of a curve of nth degree is at most n. (Option C)

• Calculating the number of asymptotes of a curve of nth degree is a subject that varies depending on the equation of the curve.
• The number of asymptotes for two different nth degrees equations can vary.
• However, we can always assert that the number of asymptotes of an nth degree curve will be at most n. It can be either exactly n or less than n but never greater than it.
• Asymptotes of a curve of nth degree intersect the curve at n-2 points.
• For example, the fourth-degree curve: $x^4-x^3y-4x^2y^2+x^2y+4xy^3-9y^3= 11$ has four asymptotes that intersect the curve at two points.