SUMMATIVE TEST IN PRECALCULUS - Analytic geometry

SUMMATIVE TEST IN PRECALCULUS - Analytic geometry

1. SUMMATIVE TEST IN PRECALCULUS

2. ARE YOU READY?

3. Multiple Choice. Choose the letter which corresponds to the correct answer. Write your answer on your answer sheet. Important note: Analyze each item carefully before writing your final answer.

4. 1. In the illustration at the right, what kind of conic section is formed? Circle Ellipse Hyperbola Parabola

5. 2 . What conic section is formed if a plane parallel to the base intersects the cone? Circle Ellipse Hyperbola Parabola

6. 3. What is the length of the diameter of the circle ?   5 10 25 50

7. 4. If a circle is centered at the origin and has a radius of length 3 units, what is its equation?  

8. 5. A circle has its center at and has radius 6 units long, what is its equation?    

9. 6. What is the center of a circle whose equation is ?    

10. 7. What is the length of radius of a circle if its equation is ?   2 5 16 25

11. 8. What is the equation of the circle at the right?  

12. 9. Which of the following is the graph of ?   A. B. C.

13. 10. What are the coordinates of the focus of the parabola ?    

14. 11. What is the equation of the directrix of the parabola ?    

15. 12. What is the length of the latus rectum of the parabola ?   7  

16. 13. What is the vertex of the parabola ?    

17. 14. Which of the following is the equation of the parabola whose vertex is the point and whose directrix is the line ?    

18. 15. Which of the following statements about the parabola is FALSE?   its center is the origin its directrix is its latus rectum is 1 unit long it opens upward  

19. 16. What is the equation of the parabola whose graph is shown at the right?  

20. 17. What is the standard form of the equation of an ellipse whose center is not the origin and whose major axis is horizontal?  

21. Given: 18. What is the center of the ellipse?   origin  

22. Given: 19. What are the foci of the ellipse?    

23. Given: 21. What are the covertices of the ellipse?    

24. Given: 22. What is the length of the major axis of the ellipse?   10 14 24  

25. Given: 23. Which of the following is the graph of the ellipse?   A. B. C.

26. Given: 24. What is the center of the hyperbola?    

27. Given: 25. What are the foci of the hyperbola?    

28. Given: 26. What are the asymptotes of the hyperbola?   & & & &  

29. 27. Which of the following equations is a hyperbola?  

30. 28. What is the graph of ?   Circle Ellipse Point Empty Set

31. 29. Which of the following characterize the general equation of an ellipse? Both and appear and their coefficients are the same. Both and appear and their coefficients have the same sign and are unequal. Both and appear and their coefficients have different signs. Exactly one of or appear.  

32. 30. Which method will easily solve the system ?   Elimination Substitution Transitivity None of the above

33. ARE YOU SURE OF YOUR ANSWERS? TAKE A QUICK REVIEW IF YOU STILL HAVE TIME!