Plane Geometry and Analytic Geometry

Question 1

All circles having the same center but with unequal radii are called

Answer 1

concentric circles

Question 2

What percentage of the volume of a cone is the maximum volume right cylinder that can be inscribed in?

Answer 2

44%

Question 3

A line is perpendicular to the y-axis has a slope equal to:
A. one
B. infinity
C. zero
D. indeterminate

Answer 3

zero

Question 4

It represents the distance of a point from the y-axis
A. abscissa
B. ordinate
C. coordinate
D. polar distance

Answer 4

abscissa

Question 5

It represents the distance of a point from the x-axis
A. abscissa
B. ordinate
C. coordinate
D. polar distance

Answer 5

ordinate

Question 6

The intercept form for algebraic straight-line equation is:
A. a/x + y/b = 1
B. y = mx + b
C. Ax + By + C = 0
D. x/a + y/b = 1

Answer 6

x/a + y/b = 1

Question 7

What conic is described by the equation x² + y² - 4x + 2y - 20 = 0
A. ellipse
B. parabola
C. circle
D. hyperbola

Answer 7

circle

Question 8

The locus of a point which moves so that its distance from a fixed point and a fixed line is always equal is _______.
A. ellipse
B. parabola
C. circle
D. hyperbola

Answer 8

parabola

Question 9

A conic section whose eccentricity is equal to one (1) is known as:
A. parabola
B. an ellipse
C. a circle
D. a hyperbola

Answer 9

parabola

Question 10

The _________ of a parabola is the line which passes through the focus and is perpendicular to the directrix.
A. latus rectum
B. axis
C. eccentricity
D. tangent line

Answer 10

axis

Question 11

What curve is described by the equation y² + 4y + x - 1 = 0?
A. circle
B. parabola
C. ellipse
D. hyperbola

Answer 11

parabola

Question 12

What is the length of the latus rectum of the parabola y = 4px²?
A. p
B. -4p
C. 2p
D. 4p

Answer 12

4p

Question 13

The locus of a point which moves so that the sum of its distances between two fixed points is constant is called
A. hyperbola
B. circle
C. parabola
D. ellipse

Answer 13

ellipse

Question 14

A conic section whose eccentricity is less than one (1) is known as:
A. hyperbola
B. circle
C. parabola
D. ellipse

Answer 14

ellipse

Question 15

What curve is described by the equation 4x² - y² + 8x + 4y = 15?
A. hyperbola
B. circle
C. parabola
D. ellipse

Answer 15

hyperbola

Question 16

In a conic section, if the eccentricity is greater than one (1), the locus is:
A. a parabola
B. an ellipse
C. a circle
D. a hyperbola

Answer 16

hyperbola

Question 17

If the general equation of the conic is Ax² + Bxy + Cy² + Dx + Ey + F = 0. If B² - 4AC > 0, the equation describes a
A. hyperbola
B. circle
C. parabola
D. ellipse

Answer 17

hyperbola

Question 18

Type of conic section with a keyword of equidistant, fixed point

Answer 18

Circle

Question 19

Type of conic section with a keyword of fixed line

Answer 19

Parabola

Question 20

Type of conic section with a keyword of sum

Answer 20

ellipse

Question 21

Type of conic section with a keyword of difference

Answer 21

hyperbola

Question 22

Type of conic section with an eccentricity of e = 0

Answer 22

circle

Question 23

Type of conic section with an eccentricity of e = 1

Answer 23

parabola

Question 24

Type of conic section with an eccentricity of e < 1

Answer 24

ellipse

Question 25

Type of conic section with an eccentricity of **e > 1**

Answer 25

hyperbola

Question 26

Type of conic section with a discriminant of **B² - 4AC ≠ 0**

Answer 26

Circle

Question 27

Type of conic section with a discriminant of **B² - 4AC = 0**

Answer 27

parabola

Question 28

Type of conic section with a discriminant of **B² - 4AC < 0**

Answer 28

ellipse

Question 29

Type of conic section with a discriminant of **B² - 4AC > 0**

Answer 29

hyperbola