Learning Module for Junior High School Mathematics 4. In the center - radius form of the equation of a circle, what is the graph when r2 > 0? b. line a. point 5. If the center is at the origin and (5, 4) is a noint on tho giuul C. circle d. none

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Learning Module for Junior High School Mathematics
4. In the center - radius form of the equation of a circle, what is the graph when
r2 > 0?
a. point
5. If the center is at the origin and (5, 4) is a point on the circle, what is the radius of
b. line
C. circle
d. none
the circle?
a. V11
b. V15
C. V39
d. V41
6. The equation of a circle is defined by x2 + y2 = 49, what is the length of its
%3D
radius?
а. 8
b. 7
7. What is the center of the circle defined by the equation (x + 3)² + y² = 4?
С. 6
d. 5
а. (- 3, 0)
8. Which of the following is the radius of the circle defined by x² + (y – 10)2 = 81?
b. 6
9. In the form x2 + y2 + Dx + Ey + F = 0, what is the equation of a circle with a radius
of 5 units and center at (2, -8)?
с. (3, 0)
c. (0, - 3)
d. (0, 3)
b. 7
С. 8
d. 9
a. x² + y2 + 4x – 16y + 25 = 0
b. x? + y2 - 4x + 16y + 43 = 0
d. x2 + y2 – 16x + 4y + 43 = 0
%3D
C. x2 – y2 – 16x + 4y + 25 = 0
10. Which of the following is not a circle?
a. x2 + y2 = 20
b. x2 + y2 – 16x + 4y + 100 = 0
d. x2 + y2 – 16x + 4y + 32 = 0
%3D
c. (x - 6)2 + (y +5)2 = 200
11. For what values of m will make x² + y² +8x - 6y = m a point?
a. m > -25
12.What is the center of the circle that passes through (6, -6), (4, 0), and (0, -8)?
а. (2, — 4)
13.What is the equation of the circle that passes through (6, -6), (4, 0), and (0, -8)?
b. m = -25
С. т < 25
d. m > 25
b. (-2,4)
с. (2, 4)
d. (-2, –4)
а. х2 +у?
b. х? + у2 + 8х — 4у %3D 0
8x + 4y = 0
C. X2 + y2 –
d. x2 + y2 + 4x - 8y 0
14.What is the equation of the circle that passes through (-3,-2) and (3,4) with radius
4x + 8y = 0
|
of 6 units?
a. (x + 3)2 + (y - 4)2 = 36
b. (x – 3)2 + (y + 4)2 = 36
15.What is the center of the circle that passes through (-3,-2) and (3,4) with radius
of 6 units?
c. (x + 4)2 + (y - 3)2 = 36
d. (x – 4)2 + (y + 3)2 = 36
|
а. (3,4)
b. (-3,4)
с. (-3, -4)
d. (3,-4)
Transcribed Image Text:Learning Module for Junior High School Mathematics 4. In the center - radius form of the equation of a circle, what is the graph when r2 > 0? a. point 5. If the center is at the origin and (5, 4) is a point on the circle, what is the radius of b. line C. circle d. none the circle? a. V11 b. V15 C. V39 d. V41 6. The equation of a circle is defined by x2 + y2 = 49, what is the length of its %3D radius? а. 8 b. 7 7. What is the center of the circle defined by the equation (x + 3)² + y² = 4? С. 6 d. 5 а. (- 3, 0) 8. Which of the following is the radius of the circle defined by x² + (y – 10)2 = 81? b. 6 9. In the form x2 + y2 + Dx + Ey + F = 0, what is the equation of a circle with a radius of 5 units and center at (2, -8)? с. (3, 0) c. (0, - 3) d. (0, 3) b. 7 С. 8 d. 9 a. x² + y2 + 4x – 16y + 25 = 0 b. x? + y2 - 4x + 16y + 43 = 0 d. x2 + y2 – 16x + 4y + 43 = 0 %3D C. x2 – y2 – 16x + 4y + 25 = 0 10. Which of the following is not a circle? a. x2 + y2 = 20 b. x2 + y2 – 16x + 4y + 100 = 0 d. x2 + y2 – 16x + 4y + 32 = 0 %3D c. (x - 6)2 + (y +5)2 = 200 11. For what values of m will make x² + y² +8x - 6y = m a point? a. m > -25 12.What is the center of the circle that passes through (6, -6), (4, 0), and (0, -8)? а. (2, — 4) 13.What is the equation of the circle that passes through (6, -6), (4, 0), and (0, -8)? b. m = -25 С. т < 25 d. m > 25 b. (-2,4) с. (2, 4) d. (-2, –4) а. х2 +у? b. х? + у2 + 8х — 4у %3D 0 8x + 4y = 0 C. X2 + y2 – d. x2 + y2 + 4x - 8y 0 14.What is the equation of the circle that passes through (-3,-2) and (3,4) with radius 4x + 8y = 0 | of 6 units? a. (x + 3)2 + (y - 4)2 = 36 b. (x – 3)2 + (y + 4)2 = 36 15.What is the center of the circle that passes through (-3,-2) and (3,4) with radius of 6 units? c. (x + 4)2 + (y - 3)2 = 36 d. (x – 4)2 + (y + 3)2 = 36 | а. (3,4) b. (-3,4) с. (-3, -4) d. (3,-4)
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