Ellipse, Hyperbola, and Sequence

Question 1

elongated
sphere similar
to the shape of
the orbit of the
Earth in the
solar system.

Answer 1

Ellipse

Question 2

eccentricity is
0 < e < 1

Answer 2

Ellipse

Question 3

formed by a locus of points
whose sum of the distance from the two fixed points is constant (2a).

Answer 3

Ellipse

Question 4

has closed and symmetrical figure.

Answer 4

Ellipse

Question 5

two sets of foci, directrices, latera
recta and symmetrical axes.

Answer 5

Ellipse

Question 6

two vertices and two co-vertices.

Answer 6

Ellipse

Question 7

sum of the distances is constant and equal to the length of the major axis.

Answer 7

Ellipse

Question 8

midpoint inside of the
ellipse curve

Answer 8

CENTER

Question 9

detonated by the symbol C.

Answer 9

CENTER

Question 10

main points of the curve

Answer 10

VERTICES

Question 11

expressed by the symbols V

Answer 11

VERTICES

Question 12

fixed points of the Ellipse

Answer 12

FOCI

Question 13

plural form of Focus

Answer 13

FOCI

Question 14

located between the center and the vertices

Answer 14

FOCI

Question 15

represented by the symbol F1 and F2

Answer 15

FOCI

Question 16

the lines which are located outside
of the ellipse

Answer 16

DIRECTRIX LINE

Question 17

divides the curve into two
symmetrical parts.

Answer 17

MINOR AXIS

Question 18

The end points of this
axis are called intercepts.

Answer 18

MINOR AXIS

Question 19

The length is 2b

Answer 19

MINOR AXIS

Question 20

MAJOR AXIS also known as

Answer 20

PRINCIPAL AXIS

Question 21

symmetrical axis in the ellipse but always longer in length compare to minor axis.

Answer 21

PRINCIPAL AXIS /MAJOR AXIS

Question 22

endpoints are the vertices.

Answer 22

PRINCIPAL AXIS /MAJOR AXIS

Question 23

length of this axis is 2a

Answer 23

PRINCIPAL AXIS /MAJOR AXIS

Question 24

distance between
the one of the focus to the Center.

Answer 24

FOCAL DISTANCE

Question 25

denoted by the symbol c

Answer 25

FOCAL DISTANCE

Question 26

the plural form of the latus rectum

Answer 26

LATERA RECTA

Question 27

2b²/a

Answer 27

LATERA RECTA

Question 28

c/a

Answer 28

ECCENTRICITY

Question 29

x²/a² + y²/b² =1

Answer 29

Standard Horizontal Ellipse

Question 30

y²/a² + x²/b² =1

Answer 30

Standard Vertical Ellipse

Question 31

Endpoints of Latera Recta (Horizontal)

Answer 31

(c, b²/a)

Question 32

(c, b²/a)

Answer 32

Endpoints of Latera Recta (Horizontal)

Question 33

axis of horizontal ellipse

Answer 33

x-axis

Question 34

(0,b)

Answer 34

Endpoints of Minor Axis (Horizontal)

Question 35

(a,0)

Answer 35

Vertices (Horizontal)

Question 36

Endpoints of Minor Axis (Horizontal)

Answer 36

(0,b)

Question 37

(c,0)

Answer 37

Foci (Horizontal)

Question 38

Vertices (Horizontal)

Answer 38

(a,0)

Question 39

Foci (Horizontal)

Answer 39

(c,0)

Question 40

Endpoints of Latera Recta (Vertical)

Answer 40

(b²/a, c)

Question 41

axis of vertical ellipse

Answer 41

y-axis

Question 42

Endpoints of Minor Axis (Vertical)

Answer 42

(b,0)

Question 43

Vertices (Vertical)

Answer 43

(0,a)

Question 44

Foci (Vertical)

Answer 44

(0,c)

Question 45

last type of conic section

Answer 45

HYPERBOLA

Question 46

locus of points such that the difference of the distances from any points of the curve to the fixed points is constant.

Answer 46

HYPERBOLA

Question 47

pairs of parabolas whose openings are in opposite direction

Answer 47

HYPERBOLA

Question 48

its shape is dependent on the value of eccentricity (> 1)

Answer 48

HYPERBOLA

Question 49

the point in the middle of the hyperbola.

Answer 49

CENTER

Question 50

two axes and the asymptotic line of hyperbola intersects

Answer 50

CENTER

Question 51

main point of the hyperbola

Answer 51

VERTEX

Question 52

point is located nearer to the center of the curve than to the foci

Answer 52

VERTEX

Question 53

points located inside of the hyperbola

Answer 53

FOCI

Question 54

are located next to the vertices

Answer 54

FOCI

Question 55

the line that joining the two vertices and passes through the center and foci

Answer 55

TRANSVERSE AXIS

Question 56

the counter part of the major axis and it length measures as 2a

Answer 56

TRANSVERSE AXIS

Question 57

a shorter line that connects the points b1, and b2

Answer 57

CONJUGATE AXIS

Question 58

also passes through the center of the hyperbola

Answer 58

CONJUGATE AXIS

Question 59

lines that is drawn in between of the curves of the hyperbola and parallel to the curves

Answer 59

DIRECTRIX LINES

Question 60

two lines that intersect the center of the hyperbola (they are asymptotic to the two curves)

Answer 60

ASYMPTOTE LINES

Question 61

chords that pass through the foci

Answer 61

LATERA RECTA

Question 62

STANDARD FORM OF HORIZONTAL HYPERBOLA

Answer 62

x²/a² - y²/b² =1

Question 63

STANDARD FORM OF VERTICAL HYPERBOLA

Answer 63

y²/a² - x²/b² =1

Question 64

c > a and c >b

Answer 64

Hyperbola

Question 65

a > b and a > c

Answer 65

Ellipse

Question 66

list of numbers or terms with definite interval or exact differences

Answer 66

SEQUENCE

Question 67

Each number in a sequence is called a

Answer 67

TERM

Question 68

obtained by adding a constant number to the preceding term.

Answer 68

ARITHMETIC SEQUENCE

Question 69

where the constant is called the common difference.

Answer 69

ARITHMETIC SEQUENCE

Question 70

in arithmetic, The constant is called the

Answer 70

common difference

Question 71

first term is obtained by multiplying a constant number to the preceding term.

Answer 71

GEOMETRIC SEQUENCE

Question 72

The constant is called the common ratio

Answer 72

GEOMETRIC SEQUENCE

Question 73

in geometric, the constant is called the

Answer 73

common ratio

Question 74

number is found by adding the two numbers before it

Answer 74

FIBONACCI SEQUENCE

Question 75

the SUM of the terms of a sequence

Answer 75

SERIES