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WorksheetsMath Terms & Objectives Quiz sud
Total questions: 79
Worksheet time: 40mins
The axis of the hyperbola through its foci is known as:
conjugate axis
transverse axis
major axis
minor axis
Describe the locus represented by l ƶ – i l = 2
circle
parabola
ellipse
hyperbola
Describe the locus represented by |z + 2i l +lz – 2i| = 6.
circle
parabola
ellipse
hyperbola
A conic section whose eccentricity is greater than one (1) is known as?
a parabola
an ellipse
a circle
a hyperbola
The parabola defined by the equation 3y^2 + 4x=0 opens _____
upward
downward
to the left
to the right
Given a conic section, if B^2 – 4AC = 0, it is called?
Circle
Parabola
Hyperbola
Ellipse
Given a conic section, if B^2 – 4AC > 0, it is called?
Circle
Parabola
Hyperbola
Ellipse
Describe and graph the locus represented by lm{z^2}=4
Circle
Parabola
Hyperbola
Ellipse
A tangent to a conic is a line
which is parallel to the normal
which touches the conic at only one point
which passes inside the iconic
all of the above
All circles having the same center but with unequal radii are called
encircle
tangent circles
concyclic
concentric circles
The length of the latus rectum of the parabola y^2 = 4px is:
4p
2p
p
-4p
In an ellipse, a chord which contains a focus and is in a line perpendicular to the major axis is a:
latus rectum
minor
conjugate axis
focal width
What is the length of the shortest line segment in the first quadrant drawn tangent to the ellipse b^2x^2 + a^2y^2 = a^2b^2 and meeting to the coordinate axes?
a/b
a+b
ab
b/a
Using original diameter, d, what is the new diameter when the volume of the sphere is inscribed 8 times?
2d
3d
4d
5d
The conic section whose eccentricity is less than one (1) is known as:
a parabola
an ellipse
a circle
a hyperbola
In polar coordinate system the distance from a point to the pole is known as:
polar angle
radius vector
x-coordinate
y-coordinate
It represents the distance of a point from the y-axis.
ordinate
coordinate
abscissa
polar distance
A triangle with unequal sides.
Equilateral triangle
Equiangular triangle
Isosceles triangle
Scalene triangle
What do you call a radical expressing an irrational number?
surd
radix
complex number
index
In polar coordinate system, the polar angle is negative when:
measured counterclockwise
measured clockwise
measured at the terminal of 0
none of these
If in the Fourier series of a periodic function, the coefficient a0 = 0 and an = 0, then it must be having ______ symmetry.
odd
even
odd quarter-wave
either A or B
If the Fourier series of a periodic function, the coefficient a0 is zero, it means that the function has
odd symmetry
even quarter-wave-symmetry
odd-quarter wave symmetry
any of the above
A given function f(t) can be represented by a Fourier series if it
is periodic
is single valued
is periodic, single valued and has a finite number of maxima in any one period
has a finite number of maxima in any one period
If in the Fourier series of a periodic function, the coefficient a0 = 0 and a0 = 0, then it must be having ________ symmetry.
odd
even
odd quarter wave
either A or B
If the coefficient bn of a periodic function is zero, then it must passes ______ symmetry.
odd
even
odd quarter wave
either A or B
Identify the property of real numbers being illustrated: x + (y + z) = (x + y) + z
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Given a conic section, if B^2 – 4AC = 0, it is called?
Circle
Parabola
Hyperbola
Ellipse
Given a conic section, if B^2 – 4AC>0, it is called?
Circle
Parabola
Hyperbola
Ellipse
A conic section whose eccentricity is equal to one (1) known as:
a parabola
an ellipse
a circle
a hyperbola
A length of the latus rectum of the parabola y^2 = 4px is:
4p
2p
p
-4p
The product of the slopes of any two straight lines is negative 1, one of these lines are said to be
perpendicular
parallel
non intersecting
skew
When two lines are perpendicular, the slope of one is:
equal to the negative of the other
equal to the other
equal to the negative reciprocal of the other
equal to the reciprocal of the other
nsin(pi/n), is it convergent or divergent? If convergent what is the limit?
convergent, pi/2
divergent
convergent, pi
convergent, pi/4
If the sides of the right triangle is in arithmetic progression, what is the ratio of its sides?
1:2:3
4:5:6
3:4:5
2:3:4
A tangent to a conic is a line
which is parallel to the normal
which touches to the conic at only one point
which passes inside the conic
all of the above
An equation of the form a/b = c/d is
an inequality
an equality
a proportion
a ratio
A conic section whose eccentricity is less than one is known as:
parabola
an ellipse
a circle
a hyperbola
What percentage of the volume of a cone is a maximum right circular cylinder that can be inscribe in it?
24 percent
34 percent
44 percent
54 percent
In y = mx + b, what is m?
slope
x-intercept
y-intercept
asymptote
Each of the following figures has exactly two pairs of parallel sides EXCEPT a
parallelogram
rhombus
trapezoid
square
Which of the following is a vector?
kinetic energy
electric field intensity
entropy
work
What kind of graph is r = 2 sec Ѳ?
straight line
parabola
ellipse
hyperbola
Infinity minus infinity is:
infinity
zero
indeterminate
none of these
If in the Fourier series of periodic function, the coefficient a0 = 0 and an = 0, then it must be having _____ symmetry.
odd
even
odd quarter waves
either A or B
What iconic section is 2x^2 – 8xy + 4x = 12?
Hyperbola
Ellipse
Parabola
circle
Any number divide by infinity is equal to:
1
infinity
zero
indeterminate
What iconic section is 2x^2 – 8xy + 4x = 12?
Hyperbola
Ellipse
Parabola
circle
Any number divide by infinity is equal to:
1
infinity
zero
indeterminate
The points z1, z2, z3, z4 in the complex plane are the vertices of a parallelogram taken in order if any only if
z1 + z4 = z2 + z3
z1 + z2 = z3 + z4
z1 + z3 = z2 + z4
none of these
A cylindrical container open at the top with minimum surface area at a given volume. What is the relationship of its radius to height?
radius = height
radius = 2height
radius = height/2
radius = 3 height
A periodic waveform possessing half-wave symmetry has no
even harmonics
odd harmonics
sine terms
cosine terms
Which one is not a root of the fourth root of unity?
i
1
i√2
-i
Determine the equation that expresses that G is proportional to k and inversely proportional to c and z.
G = ck/GG
G = ckl/zC
G = a/bc
G = hc/zk
The chord passing through the focus of the parabola and is perpendicular to its axis is termed as:
axis
latus rectum
directrix
translated axis
The axis of the hyperbola through its foci is known as:
conjugate axis
transverse axis
major axis
minor axis
Describe the locus represented by |z + 2i| + |z – 2i| = 6.
circle
parabola
ellipse
hyperbola
The locus of a point which moves so that the sum of its distance between two fixed points is constant is called
ellipse
parabola
circle
hyperbola
Describe the locus represented by |z – 3| - |z+3| = 4.
ellipse
circle
hyperbola
parabola
Find the centroid of a semicircular area of radius a.
2a/π
4 a/π
2 a/3π
4 a/3π
A triangle has two congruent sides and the measure of an angle is 40 degrees. Which of the following types of triangle is it?
isosceles
equilateral
right
scalene
The parabola defined by the equation 3y^2 + 4x = 0 opens ______.
upward
downward
to the left
to the right
Which of the following rope lengths is longest?
1 meter
1 yard
32 inches
85 centimeters
Determine if the sequence {n sin (π/n)} is convergent or divergent. Find its limit if it is convergent.
convergent, π/4
divergent
convergent, π/2
convergent, 흅
A point where the concavity of a curve change or when the ellipse of the curve is neither increasing nor decreasing in known as
inflection point
maximum point
minimal point
point of tangency
A triangle has angles of 71 degrees and 62 degrees. Which of the following best describes the triangle?
acute scalene
obtuse scalene
acute isosceles
obtuse isosceles
A normal to a given plane is
oblique to the plane
parallel to the plane
perpendicular to the plane
lying in the plane
The plane rectangular coordinate system is divided into four parts which are known as
octants
quadrants
coordinates
axis
The rectangular coordinator system is space is divided into eight compartments, which are known as:
quadrants
octants
axis
coordinates
Which of the following is a disadvantage of using the sample range to measures of spread or dispersion?
It produces very small spreads.
The largest of the smallest observation (or both) may be a mistake or an outlier
The sample range is not measured in the same units as the data.
It produces spreads that are too large.
The line passing through the focus and perpendicular to the directrix of a parabola is called ________.
latus rectum
axis
secant line
tangent line
Determine the equation that expresses the statement. F is directly proportional to y Symbols a, b, c and d are constants.
F= a
F= b
F= a * y
F= cy^3 + a
When two lines are parallel, the slope of one is
the negative of the other
equal to the other
the negative reciprocal of the other
the reciprocal of the other
What conic section is described by the equation 4x’’ – y’’ + 8x + 4y = 15?
ellipse
hyperbola
parabola
circle
If the general equation of the conic Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0. If B^2 – 4AC >0, the equation describes a ____________.
ellipse
hyperbola
parabola
circle
4x^2 – y^2 = 16 is the equation of a:
ellipse
hyperbola
circle
parabola
Which of the following clearly describes the general multiplicative rule of probability?
It is the rule of the probability theory that is used to compute the probability for the occurrence of a union of two or more events: for any two events, A and B, P(A U B) = P(A) + P(B) – P(A ∩ B).
It is the rule of the probability theory that is used to compute the probability for the occurrence of a union of two or more events: for any two events A and B, P(A U B) = P(A) + P(B).
It is the rule of the probability theory that is used to compute the probability for the occurrence of a union of two or more events: for any two events, A and B, P(A ∩ B) = P(A)∙P(B/A) = P(A ∩ B) = P(A/B) ∙P(B)
It is the rule of the probability theory that is used to compute the probability for the occurrence of a union of two or more events: for any two events, A and B, P(A ∩ B) = P(A)∙P(B/A) = P(A ∩ B)
Which of the following best describes the concept of marginal probability?
It is the measure of the likelihood that the particular event will occur, regardless of weather another event occurs.
It is the measure of the likelihood that the particular event will occur, given the fact that another event has already occurred or is certain to occur.
It is the measure of the likelihood of the simultaneous occurrence of two or more events.
It is direct for defining the sample space of an experiment.
What is the ratio of the surface area of a sphere to its volume?
5/R
4/R
3/R
2/R
In what quadrants will θ be terminated if cos θ is negative?
1,4
2,3
1,3
2,4
