- 1. What is the equation of a hyperbola with foci at (±5, 0) and vertices at (±3, 0)?
A) a
B) b
C) d
D) c
- 2. Find the equation of a hyperbola with foci at (0, ±6) and vertices at (0, ±4).
A) c
B) d
C) b
D) a
- 3. What is the coordinates of the center of
A) (2, -3)
B) (3, -2)
C) (-3, 2)
D) (-2, 3)
- 4. What are the coordinates of the vertices of
A) (3,1) and (3, -5)
B) (-3, 1) and (2, 5)
C) (1, 2) and (5, 2)
D) (1, -2) and (5, -2)
- 5. What are the coordinates of the co-vertices of
A) (3,1) and (3, -5)
B) (-3, 1) and (2, 5)
C) (1, 2) and (5, 2)
D) (1, -2) and (5, -2)
- 6. What is the equation of the asymptotes of
A) b
B) d
C) c
D) a
- 7. What is the coordinates of the center of
A) (2,1)
B) (1,2)
C) (-2, -1)
D) (-1, -2)
- 8. What are the coordinates of the vertices of
A) (2,4) and (2, -2)
B) (4,2) and (-2,2)
C) (-2, 4) and (2, -2)
D) (6,1) and (-2,1)
- 9. What are the coordinates of the co-vertices of
A) (-2, 4) and (2, -2)
B) (6,1) and (-2,1)
C) (-6,1) and 2, -1)
D) (2,4) and (2, -2)
- 10. What are the coordinates of the foci of
A) (2,4) and (2, -2)
B) (2, 6) and (2,-4)
C) (-6,1) and 2, -1)
D) (-2, 4) and (2, -2)
- 11. What type of conic section is represented by the equation
A) hyperbola
B) parabola
C) circle
D) ellipse
- 12. What type of conic section is represented by the equation
A) ellipse
B) circle
C) parabola
D) hyperbola
- 13. What type of conic section is presented by the equation x2+ y2= 4?
A) hyperbola
B) parabola
C) ellipse
D) circle
- 14. What type of conic section is presented by the equation
A) Parabola
B) ellipse
C) circle
D) hyperbola
- 15. Solve the system: What is the solution?
A) (3, 4) and (4, 3)
B) (5, 0)
C) (0, 5) and (5, 0)
D) (0, 5)
- 16. Solve the system:What is the solution?
A) (-4, -1)
B) (3, 0)
C) (0, -3)
D) (4, 1)
- 17. What is the sum of the first 5 terms of the series 2 + 5 + 8 + 11 + ...?
A) 45
B) 50
C) 55
D) 40
- 18. What is the sum of the first 10 terms of the arithmetic series 3 + 6 + 9 + 12 + ...?
A) 165
B) 175
C) 145
D) 155
- 19. What is the sum of the first 6 terms of the series 1 + 3 + 5 + 7 + ...?
A) 40
B) 49
C) 36
D) 45
- 20. Find the sum of the first 5 terms of a geometric sequence whose first term is 2 and the common ratio is 1/3.
A) b
B) c
C) a
D) d
- 21. Find the sixth term of the sequence 3, 12, 48, . . .
A) 3702
B) 2037
C) 3027
D) 3072
- 22. What is the sigma notation for the series 2 + 4 + 6 + 8 + 10?
A) d
B) b
C) c
D) a
- 23. What is the sigma notation for the series 1 + 2 + 4 + 8 + 16?
A) a
B) b
C) c
D) d
- 24. The system of nonlinear equations is a system of two or more equations in two or more variables containing at least one equation that is not linear.
A) maybe
B) none of the above
C) false
D) true
- 25. A system of nonlinear equations is composed of a first degree and second-degree equations. The solution of a system when graph can be determined by its number of points of intersection.
A) false
B) maybe
C) none of these
D) true
- 26. What is the solution of the given graph?
A) one solution
B) no solution
C) two solution
D) three solution
A) (-5, 3) and (3, -1)
B) (3, -5) and (-1,3)
C) (-5,3) and (-1,3)
D) (3,-5) and (3,-2)
- 28. In hyperbola, it is not possible that a<b or a>b.
A) true
B) maybe
C) false
D) none of these
- 29. what is the solution for the given figure?
A) three solution
B) two solution
C) one solution
D) no solution
- 30. What is the equation of the asymptotes?
A) b
B) a
C) c
D) d
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