BASMATH PRACTICE EXERCISE (PART 1) – CONIC SECTIONS
I. Identify the graph of each equation
1. 0yx2= 1
2. x y 4x4y156 2+ 9 2− 2 − 5 + 1 = 0
3. x6y6x4y729 2− 1 2− 3 − 6 − 1 = 0
4. y5x2− 2 = 0
5. x y 8x2y63 2+ 3 2+ 1 − 1 − 4 = 0
6. x2−y2= 0
7. y x 1x2− 4 + 2 − 1 = 0
8. y2x3x2= 4 2− 1
9. x= 1 − y2
10. yx2+ 3 2+ 6 = 0
11. 4
x−5
y= 1
12. x2−y2= 1
II. Reduce the following equations to standard forms and draw the graph. Give the coordinates/equations of all
parts.
1. 6x3y2− 1 = 0
2. y2x2+ 3 − 1 = 0
3. x y 2y2− 8 − 4 − 1 = 0
4. 2y x4y2− 1 + 9 = 0
5. x2x2+4 +y+ 4 = 0
6. x4y7x2− 6 − 1 − 4 = 0
14. 5x50x254y2+ 2 2− 1 + 1 = 0
15. y x 2y2−x2+ 8 − 4 + 1 = 0
16. y x y 04x2+ 4 2+ 8 − 3 + 2 = 0
17. 5x00x2y8416y2− 2 2− 1 − 3 − 4 = 0
18. y6y6x2+ 4 2+x+ 1 + 1 = 0
19. y6x2y4416x2+ 9 2+ 9 + 7 + 1 = 0
