Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 40E
Related questions
Question
numbers 1-14 please
Transcribed Image Text:МАТНЕМАTICS 10
Written Test #5 (Quarter 2)
January 28, 2022
DIRECTION: Read and analyze each item carefully. Choose the correct and best
answer from among the options. Shade the circle that corresponds to the letter of
your answer on the Zipgrade sheet provided.
(Refer to the given example below)
ABC D
1. O • o O
2. O 0 O .
1.
What are the coordinates of the center of the circle defined by
x² + (y – 6)? = 9?
A. (0,6)
What is the radius of the circle defined by (x – 7)? + (y+ 2)? = 10?
В. (0, —6)
C. (6, 0)
D. (-6,0)
2.
A. 100 units B. 10 units
C. V10 units D. -10 units
3.
Which of the following is the corresponding center-radius form of the circle
defined by x + y? – 8x + 2y + 13 = 0?
A. (x – 4)? + (y + 1)? = 4
B. (x + 4) + (y + 1) = 4
C. (x+ 4)? + (y – 1)? = 4
D. (x - 4)* + (y – 1)? = 4
of
4.
What are the
coordinates
the
center
of
the
circle
x² + y? – 4x + 6y – 36 = 0?
А. (9,-3)
How long is the radius of the circle whose equation is x2+y? + 4y = 0?
A. 4 units
В. (2,-3)
С. (3,-2)
D. (2, –10)
5.
C. VZ units
D. 1 unit
B. 2 units
and
3x²+3y? – 6x + 12y +3 = 0?
6.
What
are the
center
the
radius
of
the
circle
A. C(1,2); r = 4
C. C(-1,2); r = 3
D. C(0, 2); r = 1
B. C(1,-2); r = 2
Which of the following is the
equation of the graph illustrated on
the right?
A. x? +y? + 12x + 6y + 45 = 0
B. x? + y? + 12x + 6y +9 = 0
С. х2 + у? — 12х-бу + 45%30
D. x? + y? - 12x - 6y + 9 = 0
7.
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Page | 69
of the
x?+y? – 2x + 2y - 2 = 0?
8.
Which
following
is
the
graph
of
the
equation
A.
C
В.
D.
What makes the equation (x - 5) + (y + 2v3)2 = -9 NOT a circle?
A. One of the coordinates of the
9.
C. The equation is not in the
center is a radical.
B. Not all terms are in the
exponent of 2.
10. Which of the following equations is a circle?
A. x²+y2 + 4x + 5 = 0
B. x²+y? + 4x + 14y + 3 = 0
standard form.
D. The radius is not a real number.
C. x²+y2 – 4y + 8 = 0
D. x²+y? + 4x + 10y + 30 = 0
11. What is the equation of the circular plate whose center lies at (2,2) and
which passes through (-3, 1)?
A. (x + 3) + (y – 1) = 26
B. (x + 2)? + (y + 2)? = 26
12.
C. (x – 3) + (y + 1)? = 26
D. (x – 2)2 + (y – 2)? = 26
A circle has diameter with endpoints (5,-1) and (-7,-5), respectively.
What are the coordinates of the center of the circle?
А. (6, 3)
В. (-1,-3)
С. (-3, -1)
D. (-6,-3)
13. Based on item number 12, how long is the radius of the circle?
A. 2/10 units B. 3V10 units C. 4V10 units
A radio signal can transmit messages up to a distance of 5km. If the origin of
the radio signal is located at a point whose coordinates are (-2, 7), what is the
equation of the circle that defines the boundary up to which the messages can
be transmitted ?
D. 5V10 units
14.
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