This document contains an assessment for lesson 1 with 11 multiple choice questions about conic sections, circles, and their standard equations. It also contains the answers to the assessment questions. The assessment covers topics like identifying the conic section represented by different graphs, finding the standard equation of a circle given properties like its center and radius, and determining properties of a circle like its center or radius based on information provided.

1. ASSESSMENT
LESSON 1
SUBMITTED BY 12 STEM-EDISON
: FRANZ MARGARET C. INTENDENCIA
: RACHELLE ANN C. LENON
: RITCHEL S. SEBANDO

2. LET’S START
GOOD LUCK!!!

3. 1. What conic section is being represented by
the track and field oval?
A.Circle
B.Ellipse
C.Hyperbola
D.Parabola

4. 2. The curves that are formed when a plane
cuts a double-napped cone?
A. Conics
B. Line
C. Point
D. Sector

5. 3. What is the standard equation of a circle
whose center at the origin and radius of √7.
A. 𝑥2 + 𝑦2 = 7
B. 𝑥2 + 𝑦2 = 49
C. 𝑥 − 7 2 + 𝑦 − 7 2 = 7
D. 𝑥 + 7 2 - 𝑦 + 7 2 = 49

6. 4. Which equation of the circle has its center at
the origin?
A. 𝑥2
+ 𝑦 − 3 2 = 6
B. 𝑥 + 8 2 + 𝑦2 = 25
C. 𝑥 + 1 2 + 𝑦 + 1 2 = 1
D. 𝑥2
+ 𝑦2
= 13

7. A circle has its center at (2, 5) and passes
through the point (-3, -4).
Consider the statement below to answer 5
and 6.

8. 5. Which equation used to solve its radius?
A. r = (2 + 3)2 + (5 + 4)2
B. r = (2 − 3)2 + (5 − 4)2
C. r = 2 − 3 2 + 5 − 4 2
D. r = 2 + 3 2 + 5 + 4 2

9. 6. What is its standard equation?
A. (𝑥 + )
3 2 + 𝑥 + 4 2 = 82
B. 𝑥 − 3 2 + 𝑥 + 4 2 = 106
C. 𝑥 − 2 2 + 𝑥 − 5 2 = 106
D. 𝑥 + 2 2 + 𝑥 + 5 2 = 82

10. Consider the statement below to answer
number 7 to 9.
A circle having (3, 0) and (-2, -4) as the end
points of its diameter.

11. 7. What is the center of the said circle?
A. −
1
2
, 2
B. −2 ,
1
2
C.
1
2
, −2
D. −
1
2
, −2

12. 8. What is the radius of the said circle?
A.
41
4
B.
41
2
C.
41
2
D.
1
2

13. 9. What is the standard equation of the said
circle?
A. 𝑥 + 2 2 + 𝑦 + 4 2 =
1
2
B. 𝑥 − 3 2 + 𝑦 2 =
41
2
C. 𝑥 −
1
2
2 + 𝑦 + 2 2 =
41
4
D. 𝑥 −
1
2
2 + 𝑦 − 2 2 =
41
2

14. 10. A circle has its center at (1, -7) and tangent
to the line 3x -4y + 4=0. What is its standard
equation.
A. 𝑥 + 1 2 + 𝑦 − 7 2 = 5
B. 𝑥 − 1 2 + 𝑦 + 7 2 = 7
C. (𝑥 − 1)2 + (𝑦 + 7)2 = 49
D. 𝑥 − 1 2 − 𝑦 + 7 2 = 7

15. 11. The general equation a circle is 𝑥2 + 𝑦2 +
8x − 4y + 4 = 0. What is its equivalent
equation in standard form?
A. 𝑥 + 1 2 + 𝑦 − 7 2 = 5
B. 𝑥 − 1 2 + 𝑦 + 7 2 = 7
C. (𝑥 − 1)2 + (𝑦 + 7)2 = 49
D. 𝑥 − 1 2 − 𝑦 + 7 2 = 7

16. NAME EACH CONIC SECTION BEING
ILLUSTRATED IN EACH GRAPH
12. 13.

17. NAME EACH CONIC SECTION BEING
ILLUSTRATED IN EACH GRAPH
14. 15.

18. Lesson 1
Answers

19. 1. What conic section is being represented by
the track and field oval?
A.Circle
B.Ellipse
C.Hyperbola
D.Parabola

20. 2. The curves that are formed when a plane
cuts a double-napped cone?
A. Conics
B. Line
C. Point
D. Sector

21. 3. What is the standard equation of a circle
whose center at the origin and radius of √7.
A. 𝑥2 + 𝑦2 = 7
B. 𝑥2 + 𝑦2 = 49
C. 𝑥 − 7 2 + 𝑦 − 7 2 = 7
D. 𝑥 + 7 2 - 𝑦 + 7 2 = 49

22. 4. Which equation of the circle has its center at
the origin?
A. 𝑥2
+ 𝑦 − 3 2 = 6
B. 𝑥 + 8 2 + 𝑦2 = 25
C. 𝑥 + 1 2 + 𝑦 + 1 2 = 1
D. 𝑥2
+ 𝑦2
= 13

23. 5. Which equation used to solve its radius?
A. r = (2 + 3)2 + (5 + 4)2
B. r = (2 − 3)2 + (5 − 4)2
C. r = 2 − 3 2 + 5 − 4 2
D. r = 2 + 3 2 + 5 + 4 2

24. 6. What is its standard equation?
A. (𝑥 + )
3 2 + 𝑥 + 4 2 = 82
B. 𝑥 − 3 2 + 𝑥 + 4 2 = 106
C. 𝑥 − 2 2 + 𝑥 − 5 2 = 106
D. 𝑥 + 2 2 + 𝑥 + 5 2 = 82

25. 7. What is the center of the said circle?
A. −
1
2
, 2
B. −2 ,
1
2
C.
1
2
, −2
D. −
1
2
, −2

26. 8. What is the radius of the said circle?
A.
41
4
B.
41
2
C.
41
2
D.
1
2

27. 9. What is the standard equation of the said
circle?
A. 𝑥 + 2 2 + 𝑦 + 4 2 =
1
2
B. 𝑥 − 3 2 + 𝑦 2 =
41
2
C. 𝑥 −
1
2
2 + 𝑦 + 2 2 =
41
4
D. 𝑥 −
1
2
2 + 𝑦 − 2 2 =
41
2

28. 10. A circle has its center at (1, -7) and tangent
to the line 3x -4y + 4=0. What is its standard
equation.
A. 𝑥 + 1 2 + 𝑦 − 7 2 = 5
B. 𝑥 − 1 2 + 𝑦 + 7 2 = 7
C. (𝑥 − 1)2 + (𝑦 + 7)2 = 49
D. 𝑥 − 1 2 − 𝑦 + 7 2 = 7

29. 11. The general equation a circle is 𝑥2 + 𝑦2 +
8x − 4y + 4 = 0. What is its equivalent equation
in standard form?
A. 𝑥 + 1 2 + 𝑦 − 7 2 = 5
B. 𝑥 − 1 2 + 𝑦 + 7 2 = 7
C. (𝑥 − 1)2 + (𝑦 + 7)2 = 49
D. 𝑥 − 1 2 − 𝑦 + 7 2 = 7

30. NAME EACH CONIC SECTION BEING
ILLUSTRATED IN EACH GRAPH
12. CIRCLE 13. ELLIPSE

31. NAME EACH CONIC SECTION BEING
ILLUSTRATED IN EACH GRAPH
14. PARABOLA 15. HYPERBOLA