Home / My courses / BAED-PREC2111-2312S / FIRST QUARTER EXAMINATION / FIRST QUARTER EXAM
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Question 1
Thursday, 2 November 2023, 6:11 AM
Finished
Thursday, 2 November 2023, 6:35 AM
24 mins 51 secs
Marks
39.00/50.00
Grade
78.00 out of 100.00
All of the following is true except for
Correct
Mark 1.00 out of
1.00
a.
B^2 - 4AC < 0 → Hyperbola
b. B^2 - 4AC > 0 → Neither Ellipse nor Circle
c.
B^2 - 4AC > 0 → Either Ellipse or Circle
d. B^2 - 4AC = 0 → Parabola
Your answer is correct.
Question 2
If the 3rd term of the arithmetic sequence is 13 and the 9th term is 37, write the first term of the sequence
Correct
Mark 1.00 out of
1.00
a.
1
b. 5
c.
9
d. 7
Your answer is correct.
Question 3
Find the standard form of equation of the hyperbola with foci F1(-1, 2) and F2(5, 2) and vertices V1(0, 2) and V2(4, 2).
Correct
Mark 1.00 out of
1.00
a.
[(x-2)^2/4] + [(y-2)^2/5] = 1
b. [(x+2)^2/4] + [(y+2)^2/5] = 1
c.
[(x+2)^2/4] - [(y+2)^2/5] = 1
d. [(x-2)^2/4] - [(y-2)^2/5] = 1
Your answer is correct.
Question 4
If the denominator of y is greater than the denominator of x, our ellipse is _____________.
Correct
Mark 1.00 out of
1.00
a.
Diagonal
b. Vertical
c.
Horizontal
d. None of the above
Your answer is correct.
Question 5
Given the quation of a circle is x^2 + y^2 − 12x − 16y + 19 = 0. Find the centre.
Correct
Mark 1.00 out of
1.00
a.
(6,-8)
b. (-6,8)
c.
(6,8)
d. (-6,-8)
Your answer is correct.
Question 6
n=5 𝝨 3i, i=1
Correct
Mark 1.00 out of
1.00
a.
47
b. 48
c.
46
d. 45
Your answer is correct.
Question 7
Give the center of the given equation: [(x-2)^2/100]+[(y+3)^2/36]=1
Correct
Mark 1.00 out of
1.00
a.
(-2, -3)
b. (2, -3)
c.
(2, 3)
d. (-2, 3)
Your answer is correct.
Question 8
Incorrect
A/An ___________ is the locus of all the points in a plane such that the difference in their distances from two fixed points in the
plane is a constant.
Mark 0.00 out of
1.00
a.
Circle
b. Parabola 
c.
Hyperbola
d. Ellipses
Your answer is incorrect.
Question 9
The equation x^2 = -4y opens _______.
Incorrect
Mark 0.00 out of
1.00
a.
To the left
b. Upward 
c.
To the right
d. Downward
Your answer is incorrect.
Question 10
Rewrite the given rotated equation into standard form: 7x^2 - 6√3xy + 13y^2 - 16 = 0
Incorrect
Mark 0.00 out of
1.00
a.
(x^'2/4) + (y^'2/1) = 1
b. (x^'2/1) - (y^'2/4) = 1
c.
(x^'2/1) + (y^'2/4) = 1
d. (x^'2/4) - (y^'2/1) = 1 
Your answer is incorrect.
Question 11
n=4, 𝝨(6ί-4ί^2),ί=1
Correct
Mark 1.00 out of
1.00
a.
-62
b. 62
c.
-60
d. 60
Your answer is correct.
Question 12
What is the fifth term of the sequence a sub n = 2^n/n!.
Correct
Mark 1.00 out of
1.00
a.
3/3
b.
5/3
c.
2/3
d. 4/3
Your answer is correct.
Question 13
This refers to the axis which is perpendicular to the transverse axis and has the co-vertices as its endpoints.
Correct
Mark 1.00 out of
1.00
a.
Transverse Axis
b. Axis Of Symmetry
c.
None of the above
d. Conjugate Axis
Your answer is correct.
Question 14
A fix line in parabola is called __________.
Correct
Mark 1.00 out of
1.00
a.
Latus Rectum
b. Vertex
c.
Directrix
d. Focus
Your answer is correct.
Question 15
The equation of circle with (h,k) center and r radius is given by:
Incorrect
Mark 0.00 out of
1.00
a.
(x-k)^2 + (y-h)^2 = r^2
b. None of the Above
c.
(x-h)^2 - (y-k)^2 = r^2 
d. (x-h)^2 + (y-k)^2 = r^2
Your answer is incorrect.
Question 16
Calculate 5!.
Correct
Mark 1.00 out of
1.00
a.
150
b. 140
c.
130
d. 120
Your answer is correct.
Question 17
The standard equation of a parabola with vertex at (h,k) is (y - k)^2 = 4a (x - h) if it opens_____.
Incorrect
Mark 0.00 out of
1.00
a.
to the left
b. to the right
c.
Downward 
d. Upward
Your answer is incorrect.
Question 18
Give the foci of the hyperbola 9x^2 - 4y^2 - 18x - 16y - 43 = 0.
Incorrect
Mark 0.00 out of
1.00
a.
(1+√13, 2), (1+√13, -2)
b. (1+√13, -2), (1-√13, 2) 
c.
(1+√13, 2), (1-√13, 2)
d. (1+√13, -2), (1-√13, -2)
Your answer is incorrect.
Question 19
What is the length of latus rectum of the equation (y - 2)^2 = 12 (x - 1)
Correct
Mark 1.00 out of
1.00
a.
-2
b. 12
c.
-1
d. -12
Your answer is correct.
Question 20
Point (1,2) is the center of the circle and radius is equal to 4cm. What is the equation of this circle?
Correct
Mark 1.00 out of
1.00
a.
x^2 + y^2 + 2x + 4y - 11 = 0
b. None of the Above
c.
x^2 + y^2 − 2x − 4y - 11 = 0
d. x^2 + y^2 − 2x − 4y + 11 = 0
Your answer is correct.
Question 21
Write the 4th term of the sequence a sub n = 3 + (-1)^n.
Correct
Mark 1.00 out of
1.00
a.
2
b. 5
c.
4
d. 3
Your answer is correct.
Question 22
If the denominator of x is greater than the denominator of y, our ellipse is _____________.
Correct
Mark 1.00 out of
1.00
a.
Diagonal
b. Horizontal
c.
Vertical
d. None of the above
Your answer is correct.
Question 23
The general equation of any type of circle is represented by x^2 + y^2 + Dx + Ey + F = 0 for all values of D, E and F. Give the
Correct
equation to get the center.
Mark 1.00 out of
1.00
a.
(D/2, -E/2)
b. None of the above
c.
(-D/2, -E/2)
d.
(D/2, E/2)
Your answer is correct.
Question 24
Find the solution set of the given equations using substitution: 4x - 2y = 2; 2x + y = -5
Incorrect
Mark 0.00 out of
1.00
a.
(1, -3)
b. (-1, -3)
c.
(1, 3) 
d. (-1, 3)
Your answer is incorrect.
Question 25
Given the quation of a circle is x^2 + y^2 − 12x − 16y + 19 = 0. Find the radius.
Incorrect
Mark 0.00 out of
1.00
a.
11 
b. 10
c.
9
d. 8
Your answer is incorrect.
Question 26
An infinite sequence is a function whose domain is set of positive integers.
Correct
Mark 1.00 out of
1.00
a.
False
b. True
c.
Either
d. Neither
Your answer is correct.
Question 27
What is the quadratic model for sequence with indicated terms: . (a sub 0)= 3, (a sub 1)= 3, (a sub 4)= 15
Incorrect
Mark 0.00 out of
1.00
a.
(a sub n) = n^2 + n + 3
b. (a sub n) = n^2 - n - 3
c.
(a sub n) = n^2 - n + 3
d. (a sub n) = n^2 + n - 3 
Your answer is incorrect.
Question 28
What is the center of the hyperbola with foci F1(-1, 2) and F2(5, 2) and vertices V1(0, 2) and V2(4, 2).
Correct
Mark 1.00 out of
1.00
a.
(2, -2)
b. (-2, -2)
c.
(2, 2)
d. (-2, 2)
Your answer is correct.
Question 29
It a is the midpoint of both the transverse and conjugate axes, where they intersect.
Correct
Mark 1.00 out of
1.00
a.
Center of the hyperbola
b. Focus of the hyperbola
c.
Asymptotes of the hyperbola
d. Vertex of the hyperbola
Your answer is correct.
Question 30
4x^2 - 24x + 9y^2 + 36y + 36 = 0 is a/an ____________.
Correct
Mark 1.00 out of
1.00
a.
Circle
b. Ellipse
c.
Hyperbola
d. Parabola
Your answer is correct.
Question 31
n=8, 𝝨1/i!, i=0
Incorrect
Mark 0.00 out of
1.00
a.
2.73828 
b. 2.74828
c.
2.71828
d. 2.72828
Your answer is incorrect.
Question 32
What is the foci of the given equation: [(x-2)^2/100]+[(y+3)^2/36]=1
Correct
Mark 1.00 out of
1.00
a.
(-10, -3), (-6, -3)
b. (10, 3), (6, 3)
c.
(10, -3), (-6, -3)
d. (-10, 3), (-6, 3)
Your answer is correct.
Question 33
Incorrect
A ___________ is a closed curve that is drawn from the fixed point called the centre, in which all the points on the curve are
having the same distance from the centre point of the centre.
Mark 0.00 out of
1.00
a.
Circle
b. Ellipses 
c.
Hyperbola
d. Parabola
Your answer is incorrect.
Question 34
What is standard equation of an ellipse if it has horizontal orientation?
Correct
Mark 1.00 out of
1.00
a.
[(x-h)^2/a^2] - [(y-k)^2/b^2] = 1
b. [(x+h)^2/a^2] - [(y+k)^2/b^2] = 1
c.
[(x-h)^2/a^2] + [(y-k)^2/b^2] = 1
d. [(x+h)^2/a^2] + [(y+k)^2/b^2] = 1
Your answer is correct.
Question 35
The focal length of the parabola x^2 - 2x - 4y + 1= 0 is ____________.
Correct
Mark 1.00 out of
1.00
a.
2
b. 0
c.
1
d. 3
Your answer is correct.
Question 36
Every hyperbola has _________ that pass through its center.
Correct
Mark 1.00 out of
1.00
a.
2 Asymptotes
b.
3 Asymptotes
c.
4 Asymptotes
d.
1 Asymptotes
Your answer is correct.
Question 37
Correct
A sequence is a list of numbers separated by commas while series is a sum of numbers separated by “+” or “-” sign. The
statement is ______.
Mark 1.00 out of
1.00
a.
False
b. Either
c.
Neither
d. True
Your answer is correct.
Question 38
n=6, 𝝨(1+k^2), k=3
Correct
Mark 1.00 out of
1.00
a.
90
b. 89
c.
88
d. 91
Your answer is correct.
Question 39
If the 3rd term of the arithmetic sequence is 13 and the 9th term is 37, what is the common difference of the sequence?
Correct
Mark 1.00 out of
1.00
a.
3
b. 6
c.
5
d. 4
Your answer is correct.
Question 40
It’s a locus of points which moves so that it is always equidistant to a fixed point called focus and a fixed line called directrix.
Correct
Mark 1.00 out of
1.00
a.
Circle
b. Parabola
c.
Ellipses
d. Hyperbola
Your answer is correct.
Question 41
The Binomial Theorem is the method of expanding an expression that had been raised to any finite power.
Correct
Mark 1.00 out of
1.00
a.
True
b. False
c.
Either
d. Neither
Your answer is correct.
Question 42
Find the 7th term of the given sequence: 5, 9, 13, 17, _, _, _
Correct
Mark 1.00 out of
1.00
a.
29
b. 21
c.
25
d. 19
Your answer is correct.
Question 43
As a special case, zero factorial is defined as 0! = 1. The statement is always true.
Correct
Mark 1.00 out of
1.00
a.
Either
b. Yes
c.
Neither
d. No
Your answer is correct.
Question 44
Find the solution set of the given equations using elimination: 2x - 5y = -13; -3y + 4 = -5x
Correct
Mark 1.00 out of
1.00
a.
(1, -3)
b. (-1, -3)
c.
(-1, 3)
d. (1, 3)
Your answer is correct.
Question 45
The standard equation of a parabola with vertex at (h,k) is (x - h)^2 = -4a (y - k) if it opens_____.
Correct
Mark 1.00 out of
1.00
a.
to the left
b. Upward
c.
Downward 
d. to the right
Your answer is correct.
Question 46
The transverse axis is a line segment that passes through the center of the hyperbola and has vertices as its endpoints.
Correct
Mark 1.00 out of
1.00
a.
Neither
b. Either
c.
True 
d. False
Your answer is correct.
Question 47
What is the 3rd term of the sequence a sub n = 3n -2.
Correct
Mark 1.00 out of
1.00
a.
13
b. 4
c.
7
d. 10
Your answer is correct.
Question 48
What is the 12th term of the sequence 2, 4, 6, 8, ...?
Correct
Mark 1.00 out of
a.
1.00
24
b. 0
c.
28
d. 26
e.
22
Your answer is correct.
Question 49
A sequence is a function whose domain is the set of positive integers of the set {1, 2, 3, …, n}.
Correct
Mark 1.00 out of
a.
1.00
Neither
b. True
c.
False
d. Either
Your answer is correct.
Question 50
n=7, 𝝨ί^3 ,ί=1
Correct
Mark 1.00 out of
a.
1.00
784
b. 780
c.
786
d. 782
Your answer is correct.
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