Problems:
Conic Sections: Analytic Geometric Review
1. Find the midpoint of (5, 0) and (-4, 2).
2. Find the distance between points (5, 0) and (-4, 2)
3. Find the midpoint of (-2, 7) and (5, 6)
4. Find the distance between points (-2, 7) and (5, 6)
5. What is the center of circle (x- 5)² + (y- 8)²= 49
6. When is the radius of circle (x- 5)² + (y- 8)² = 49
7. Write the equation of a circle with center (-3, 1) and radius equal to √15
8. Graph (x+ 3)² + (y+ 4)²= 25
9. Write x²+ y² - 10x+ 4y+ 27= 0 in standard form
10. What is the center of x²+ y² - 10x+ 4y+ 27= 0?
11. What is the radius of x²+ y² - 10x+ 4y+ 27= 0
12. Which conic section is described by the equation
x² + Dx + Ey+ F=0
13.Which conic section is described by the equation
(x-h)² + (y-k)² =r²
14.Which conic section is described by the equation Ax² + Cy²+ Dx+ Ey+ F=0, with A and C having the same sign
15.Which conic section is described by the equation Ax² + Cy²+ Dx+ Ey+ F=0, with A and C having different signs
16.Write in standard form 9x² + 36x +25y² -50y= 164
17.Find the center of 9x² + 36x +25y² -50y= 164
18. Find the foci of 9x² + 36x +25y² -50y= 164
19.Find the major axis of 9x² + 36x +25y² -50y= 164
20. Find the major axis vertices of 9x² + 36x +25y² -50y= 164
21.Find the minor axis of 9x² + 36x +25y² -50y= 164
22.Find the minor axis vertices of 9x² + 36x +25y² -50y= 164
23.Write the equation in standard form 45y² - 320x²+ 6= 2886
24. Find the center of 45y² - 320x²+ 6= 2886
25.Find the foci of 45y² - 320x²+ 6= 2886
26.Find the vertices of 45y² - 320x²+ 6= 2886
27.Find the transverse axis of 45y² - 320x²+ 6= 2886
28. Find the asymptotes of 45y² - 320x²+ 6= 2886
29. Graph 45y²- 320x² + 6=2880
30. Graph (x- 2)² - (y-1)² =1
25 4
31. Write the standard form of -2x² + 16x +24y- 224=0
32. Find the value of p for -2x² + 16x +24y- 224=0
33. In what direction will the graph of -2x² + 16x +24y- 224=0 open?
34. Find the vertex of -2x² + 16x +24y- 224=0
35. Find the focus of -2x² + 16x +24y- 224=0
36. Find the axis of symmetry of -2x² + 16x +24y- 224= 0
37. Find the directrix of -2x² + 16x +24y- 224= 0
38. Graph -2x² + 16x +24y- 224= 0