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Q 1/40
Score 0
Which of the following is also known as a degenerate case of conic sections?
30
Hyperbola
Circle
Ellipse
Point
Q 2/40
Score 0
Which of the following conic sections is defined as the set of all points in a plane that are the same distance from a given point and a given line?
30
Parabola
Hyperbola
Ellipse
Circle
40 questions
Q.
Which of the following is also known as a degenerate case of conic sections?
1
30 sec
STEM_PC11AGIa-1
Q.
Which of the following conic sections is defined as the set of all points in a plane that are the same distance from a given point and a given line?
2
30 sec
STEM_PC11AGIa-1
Q.
Which conic section is defined by the locus of points for which the distance to a given point, called the focus, is a constant ratio to the distance from a given line, the directrix, where the ratio is greater than but not equal to one?
3
30 sec
STEM_PC11AGIa-1
Q.
What is the mathematical definition of a circle?
4
30 sec
STEM_PC11AGIa-2
Q.
Which equation defines a circle with center (h,k) and radius r in a two-dimensional coordinate system?
5
30 sec
STEM_PC11AGIa-2
Q.
What is the radius of a circle with center at the origin (0, 0) if its equation is given as $x^2 + y^2 = 25$?
6
30 sec
STEM_PC11AGIa-2
Q.
What is the standard form of the equation of a circle with a center at (2,-3) and a radius of 4?
7
30 sec
STEM_PC11AGIa-3
Q.
What is the standard form of the equation of a circle with a center at (-5,4) and a radius of 7?
8
30 sec
STEM_PC11AGIa-3
Q.
What is the standard form of the equation of a circle with a center at (3,-2) and a radius of 5?
9
30 sec
STEM_PC11AGIa-3
Q.
Which one of these is a correct definition of a parabola?
10
30 sec
STEM_PC11AGIa-5
Q.
Which of the following equations represents a parabola?
11
30 sec
STEM_PC11AGIa-5
Q.
What shape does a parabola form?
12
30 sec
STEM_PC11AGIa-5
Q.
Given the vertex (3,2) and the focus (3,5) of a parabola, what is the standard form of its equation?
13
30 sec
STEM_PC11AGIb-1
Q.
Given a parabola's vertex (2,-3) and directrix y = -5, what is its standard form equation?
14
30 sec
STEM_PC11AGIb-1
Q.
What is the standard form equation of a parabola with a focus at (3,2) and a directrix x = 1?
15
30 sec
STEM_PC11AGIb-1
Q.
Which of the following best describes an ellipse?
16
30 sec
STEM_PC11AGIc-1
Q.
In the equation of an ellipse (x-h)²/a² + (y-k)²/b² = 1, what does 'a' represent?
17
30 sec
STEM_PC11AGIc-1
Q.
What is the foci of an ellipse?
18
30 sec
STEM_PC11AGIc-1
Q.
What is the standard form of the equation of an ellipse with a major axis on the x-axis, center at the origin, and radii 3 and 2?
19
30 sec
STEM_PC11AGIc-2
Q.
What is the standard form of the equation of an ellipse with a major axis on the y-axis, center at the origin, and radii of 5 and 7?
20
30 sec
STEM_PC11AGIc-2
Q.
What is the standard form of the equation of an ellipse centered at (0,0) with a horizontal major axis of length 6 and a minor axis of length 4?
21
30 sec
STEM_PC11AGIc-2
Q.
Which of the following best defines a hyperbola?
22
30 sec
STEM_PC11AGId-1
Q.
Which one of the following best represents the general equation of a hyperbola?
23
30 sec
STEM_PC11AGId-1
Q.
What do we call the line that passes through the foci of the hyperbola?
24
30 sec
STEM_PC11AGId-1
Q.
Which of the following is the standard form of the equation of a hyperbola with its center at origin?
25
30 sec
STEM_PC11AGId-2
Q.
Determine the standard form equation of a hyperbola that has a horizontal transverse axis, with its center at (0,0), a = 5 and b = 3.
26
30 sec
STEM_PC11AGId-2
Q.
What is the standard form of the equation for a hyperbola?
27
30 sec
STEM_PC11AG-Ie1
Q.
Which of the following equations represents a parabola?
28
30 sec
STEM_PC11AG-Ie1
Q.
A small factory which manufactures candy cones uses parabolic molds for their products. If the diameter of the base is 6 cm and the height is 9 cm, find the equation of the parabola that can represent the shape of the cone.
29
30 sec
STEM_PC11AG-Ie2
Q.
A satellite dish has a parabolic shape with a diameter of 10 meters and a depth of 2 meters. Find the equation of the parabola.
30
30 sec
STEM_PC11AG-Ie2
Q.
A golf course's fairway design is in the form of an ellipse and is given by the equation 4x^2 + y^2 = 900. What is the semi-major axis of this elliptical fairway?
31
30 sec
STEM_PC11AG-Ie2
Q.
Which of the following is an example of a series?
32
30 sec
STEM_PC11SMI-Ih1
Q.
What is the sum of the arithmetic series 2 + 4 + 6 + 8 + ... + 50?
33
30 sec
STEM_PC11SMI-Ih1
Q.
What is the sum of the infinite geometric series 1 + 1/2 + 1/4 + 1/8 + ...?
34
30 sec
STEM_PC11SMI-Ih1
Q.
Which of the following options correctly differentiates a sequence from a series in terms of mathematical concepts?
35
30 sec
STEM_PC11SMI-Ih2
Q.
Which of the following statements is true regarding sequences and series?
36
30 sec
STEM_PC11SMI-Ih2
Q.
Which of the following best describes the difference between a series and a sequence?
37
30 sec
STEM_PC11SMI-Ih2
Q.
What is the sum of the series represented by the sigma notation Σ from i=1 to 5 of (2i)?
38
30 sec
STEM_PC11SMI-Ih3
Q.
What does the sigma notation Σ from n=3 to 5 of n represent?
39
30 sec
STEM_PC11SMI-Ih3
Q.
What is the sum of the series represented by the sigma notation Σ from i=1 to 4 of (3i)?