Pre-cal | 1Q

Question 1

A Greek mathematician is said to have studied curves formed by the intersection of a perpendicular plane and a cone.

Answer 1

Menaechmus

Question 2

intersections would form curves, which became known as..

Answer 2

conic sections

Question 3

He thoroughly studied the curves formed by the intersection of a plane and a double right circular cone

Answer 3

Apollonius of Perga

Question 4

the great geometer of the Golden Age of Greek mathematics

Answer 4

Apollonius of Perga

Question 4

a line lying entirely on the cone

Answer 4

generator of the cone

Question 5

all generators of a cone pass through the intersection of the two parts

Answer 5

vertex

Question 6

a curve formed by the intersection of a plane and a double right circular cone

Answer 6

conic section

Question 7

the four basic type of conics

Answer 7

parabola
ellipse
circle
hyperbola

Question 8

if the cutting plane is parallel to one and only one generator, the curve is a..

Answer 8

parabola

Question 9

if the cutting plane is not parallel to any generator, the curve is an..

Answer 9

ellipse

Question 10

if the cutting plane is not parallel to any generator but is perpendicular to the axis, the ellipse becomes a…

Answer 10

circle

Question 11

if the cutting plane is parallel to two generators, the curve is a..

Answer 11

hyperbola

Question 12

the cutting plane does not pass through the certex of the cone

Answer 12

non-degenerate conics

Question 13

when the cutting plane intersects the vertex of the cone, the resulting cone section is called

Answer 13

degenerate conic

Question 14

a set of points whose distances from a fixed point are in a constant ratio to their distances from a fixed line that is not passing through the fixed point

Answer 14

conic

Question 15

fixed point of the conic (F)

Answer 15

focus

Question 16

the fixed line d corresponding to the focus (d)

Answer 16

directrix

Question 17

the line that passes through the focus and perpendicular to the directrix (a)

Answer 17

principal axis

Question 18

the point of intersection of the conic and its principal axis (V)

Answer 18

vertex

Question 19

the constant ratio (e)

Answer 19

eccentricity

Question 20

a set of all coplanar points such that the distance from a fixed point is constant

Answer 20

circle

Question 21

the fixed point of a circle

Answer 21

center of the circle

Question 22

the constant distances from the center

Answer 22

radius of the circle

Question 23

a set of coplanar points that are equidistant from a fixed line and a fixed point not on the fixed line

Answer 23

parabola

Question 24

the fixed line of the parabola

Answer 24

directrix of the parabola

Question 25

the fixed point of the parabola

Answer 25

focus of the parabola

Question 26

the line perpendicular to the directrix and passing through the focus F

Answer 26

axis of symmetry

Question 27

the chord that passes through the focus and perpendicular to the axis of symmetry

Answer 27

latus rectum

Question 28

the point on the parabola midway between the latus rectum and the directrix

Answer 28

vertex