問題一覧
1
If equals are added to equals, the sum is equal
Theorem
2
Any number multiplied by ________ equally unity
It's reciprocal
3
If every element of a column (or row)of a square matrix is multiplied by m, the determinant of the matrix will be
multiplied by m
4
In probability theory, the set of possible outcomes of an experiment is termed as:
a sample space
5
An angle greater that a straight angle and less than two straight angles is called
reflex angle
6
A line segment joining two point in a circle is called
chord
7
All circles having the same center but with unequal radii are called:
concentric circles
8
In a regular polygon, the perpendicular line drawn from the center of the inscribed circle to any of the sides is called
radius
9
A quadrilateral withtwo and only two sides of which are parallel, is called:
trapeziod
10
A rectangle with equal sides is called
rhombus
11
The sum of the sides of a polygon is termed as:
perimeter
12
A line that meets a plane but not perpendicular to it, in relation to the plane, is:
oblique
13
A quadrilateral whose opposite sides are equal is generally termed as:
parallelogram
14
A part of a line included between two points on the line is called:
segment
15
The section of the sphere cut by a plane through its center is termed as:
great circle
16
Line that pass through a common point are called:
concurrent
17
Point which lie on the same plane, are called:
coplanar
18
In two intersecting lines, the angles opposite to each other are termed as:
vertical angles
19
A normal to a given plane is:
a perpendicular to the plane
20
The chord passing through the focus of the parabola and perpendicular to its axis is termed as:
latus rectum
21
The locus of the point which move so the sum of its distances between two fixed points is known
an ellipse
22
A tangentto a conic is a line
which touches the conic at only one point
23
The locus of a point that move so that its distance from a fixed point and a fixed line is always equal as known as
a parabola
24
The locus of a point, which moves so that it is always equidistant from a fixed point, is known as
a circle
25
In polar coordinate system, the polar angle is positive when:
measured counterclockwise
26
The plane rectangular coordinate system is divided into four parts which are known as:
quadrants
27
The rectangular coordinate system in space is divided into eight compartments, which are known as
octants
28
A conic section whose eccentricity is less than one (1) is known as;
a circle
29
A conic section whose eccentricity is equal to one (1) is known as:
a parabola
30
In polar coordinate system, the distance from a pointto the pole is known as:
radius vector
31
The curve represented by the equation r=6 is:
a circle
32
When two lines are perpendicular, the slope of one is:
equal to the negative reciprocal of the other
33
The axis of the hyperbola, which is parallel to its directrices, is known as:
conjugate axis
34
The axis of the hyperbola through the foci is known as:
transverse axis
35
A polygon is _____ if no side, when extended, will pass through the interior of the polygon.
convex
36
The volume of any solid of revolution is equal to the generating area times the circumference of the circle described by the centroid of the area. This is commonly known as:
second proposition of pappus
37
If the product of the slopes of any two straight lines is negative 1, one of these lines are said to be
perpendicular
38
When two planes intersect with each other, the amount of divergence between the two planes is expressed to be measuring the:
dihedral angle
39
The angle which the line of sight to the object, makes with the horizontal, which is above the eye of the observer is called
angle of elevation
40
The median of a triangle is the line connecting a vertex and the midpoint of the opposite side. For a given triangle, these medians intersect at a point which is called the:
centroid
41
The altitudes of the side of a triangle intersect at the point known as:
orthocenter
42
The angular bisector of the sides ofa triangle intersects at the point which is known as:
incenter
43
The arc length equal to the radius of the circle is called
1 radian
44
A five pointed star is also known as:
pentagram
45
The area bounded by two concentric circles is called
annulus
46
The line passing through the focus and perpendicular to the directrixof a parabola is called:
axis of parabola
47
The altitudes of the sides of a triangle intersect at the point known as:
orthocenter
48
What is the graph of the equation Ax^2+Bx+Cy^2+Dy+E=0?
ellipse
49
Prisms are classified according to their _____.
bases
50
It is a polyhedron of which two faces are equalpolygons in parallel planes and the other faces are parallellgram
prism
51
In Plain Geometry, two circular arcs that together make up a full circle are called:
conjugate arcs
52
It represents the distance of a point from the y-axis.
abscissa
53
Polygons are classified according to the number of:
sides
54
In a conic section, if the eccentricity e> 1, the locus is;
hyperbola
55
The family of curves which intersect a given family of curves at an angle less than 90° are called:
isogonal trajectories
56
A line perpendicular to the x-axis has a slope of:
infinity
57
The locus of points generated when a circle is made to roll externally along the circumference of another circle
epicycloid
58
It is the surface generated by moving a straight line (called the generator) which is always parallel to a fixed line and which always intersect a fixed plane curve (called the directrix) is:
cylindrical surface
59
How many faces have an icosahedron?
20
60
Each of the faces of a regular hexahedron is a:
square
61
Polygons with all interior angles less than 180° are called:
convex polygon
62
To cut a right circular cone in order to reveal a parabola, it must be cut
parallel to an element of a cone andintersecting the axis of symmetry
63
To find the angles of a triangle, given only the lengths of the sides, one would use
the law of cosine
64
In finding the distance between two points P1(X1,Y1)and P2(X2,Y2), the most direct procedure is to use
the pythagorean theorem
65
In finding the distance between two points P1(r1,theta1)and P2(r2,theta2), the most direct procedure is to use
the law of cosine
66
It can be defined as the set of all points in the plane the sum of whose distance from two fixed points is a constant
ellipse
67
If the equation is unchanged by the substitution of –x for x, its curve is symmetric with respect the
y-axis
68
In an ellipse, a chord which contains a focus and is in a line perpendicular to the major axis is a:
latus rectum
69
What type of curve is generated by a point which moves in uniform circular motion about an axis, while travelling at a constant speed, V, parallel to the axis?
cycloid
70
An angle more than πradian but less than 2πradians is:
reflex angle
71
A plane closed curve, all points of which are the same distance from a point within, called the center
circle
72
One-fourth of a great circle
quadrant
73
Points that lie in the same plane:
coplanar
74
The study of the property of figures of three dimensions
solid geometry
75
The volume of a circular cylinder is equal to the product of its base and altitude.
theorem
76
A point on the curve where the second derivative of a function is equal to zero is called:
point of inflection
77
The point on the curve where the first derivative of a function is zero and the second derivative is positive is called
minima
78
At the minimum point, the slope of the tangent line is:
zero
79
Point of the derivatives, which do not exist ( and so equals zero) is called:
stationary points
80
If the second derivative of the equation of a curve is equal to the negative of the equation of that same curve, the curve is:
a sinusoid