eng math

Question 1

a type of smooth curve lying in a plane

Answer 1

hyperbola

Question 2

The hyperbola’s two pieces, called connected components or — that are mirror images of each other and resemble two infinite bows.

Answer 2

branches

Question 3

is a set of points whose difference of distances from two foci is a constant value.

Answer 3

hyperbola

Question 4

is the segment that goes through the two foci and the center of the hyperbola.

Answer 4

Transverse axis

Question 5

is the line passing through the center of the hyperbola and perpendicular to the transverse axis.

Answer 5

Conjugate axis

Question 6

The midpoint of the line joining the two foci is called the center of the hyperbola.

Answer 6

Center

Question 7

the points of intersection of the hyperbola with the transverse axis.

Answer 7

Vertices

Question 8

is a line that divides a hyperbola into two equal parts or creates a mirror image.

Answer 8

Axes of symmetry

Question 9

one-half of the distance between the two foci of the hyperbola.

Answer 9

Semi-major axis

Question 10

is a line segment that is perpendicular to the semi-major axis. One end of the semi-major axis is the center of the hyperbola.

Answer 10

Semi-minor axis

Question 11

are points on the axis of the hyperbola.

Answer 11

Foci of a hyperbola

Question 12

Distance between the two foci of the hyperbola.

Answer 12

Focal length

Question 13

are straight lines that the curve approaches as the values of the independent variable increase.

Answer 13

Asymptotes

Question 14

for any point on the hyperbola, the ratio of its distance from the foci and its distance from the directrix is a constant value

Answer 14

Eccentricity