PROBLEM SET 2 1. Which types of a conic section when the plane is perpendicular to x-axis of a cone. A. parabola B. ellipse C. circle D. hyperbola 2. Which of the following types of conic section when the plane intersects only one cone to form unbounded curves. A. circle B. ellipse C. parabola D. hyperbola 3. Which types of a conic section when a set of all points (x, y) in a plane that are equidistant from a fixed point, called the center. A. circle B. ellipse C. parabola D. hyperbola 4. 6x + 12x + 6y" - By = 150 is an example of A. parabola B. ellipse C. circle D. hyperbola For numbers 5-8: Classify the graph of the equation 5. 45x - 9x +y-10 =0. A. circle B. ellipse C. parabola D. hyperbola 6. 9x - y + 8x - 21y + 4 =0 A. circle B. ellipse C. parabola D. hyperbola 7. 2x + 4y - 4x + 12 = 0 A. circle B. ellipse C. parabola D. hyperbola 8. 2x + 2y" - 8x + 12y + 2 = 0 A. circle B. ellipse C. parabola D. hyperbola 9. Which types of conic section when the set of all points in plane equidistant from fixed point and a fixed line? A. . circle B. ellipse C. parabola D. hyperbola 10. What types of conic section when a set of all point in plane, the sum whose distance from the two fixed points is constant? A. circle B. ellipse C. parabola D. hyperbola 11. A hyperbola is the conic that has A. asymptotes B. focus C vertex D. minor axis 12. If the center of a circle at the origin, whose radius is 4, what is its standard equation? A. x - y = 16 B. x'ty = 4 C.x -y' =4 D.x ty = 16 13. Find the standard equation of a circle whose center at ( -4,3) and radius v7. A. (x - 4) + (y + 3 ) = 7 C. (x + 4 ) + () + 3)' = 7 B. (x + 4 ) + (1 - 3)' =7 D. (x - 4) + (y - 3) = 7 14. What is the equation of a circle when its center at (5,-6) and tangent to the y-axis? A. (x - 5)" + () + 6)" =25 C. (x - 5) + (y - 6) =6 B. (x - 5 )' + () + 6)=5 D. (x + 5) + (y + 6)=25 15. Which of the following is standard equation of y - 5x+12y=-16? A. (y - 6) = 5(x + 4) C. (y + 6)- =- 5(x - 4) B. (y + 6) = 5(x + 4) D. () - 6) = 5(x - 4)Problem Set 3 For numbers 1-3 : Find the standard equation of a parabola which satisfies the given conditions. 1. Vertex (1, -9), focus (-3,9) A. () + 9) =- 16(x - 1) C. (v + 6) =- 16(x - 4) B. (y - 6)" = 16(x + 4) D. (y - 6) = 16(x - 1) 2. Focus (7,11), directrix ; x = 1 A. (y - 11) = 5(x + 4) C. (y + 11) =- 12(x - 4) B. (y + 11) =- 5(x + 4) D. (y - 11) = 12(x - 4) 3. Vertex (-5, -7), directrix: y = 4 A. (x - 7) = 5(x + 4) C. (x - 7) = 14(y - 7.5) B. () + 7) =- 7(x - 1) D. (y - 11) = 12(x - 4) 4. x + 12x + y" - By = 27 is an example of A. parabola B. ellipse C. circle D. hyperbola For numbers 5-7: Use the given equation the ellipse 4x + 9y - 24 + 72 + 144 = 0. 5. What is the standard equation of the ellipse? A. (-3 0+ = 1 B. (-57+3) C. (1-5 6. What is the center of the ellipse? A. (-4,3) B.(4,-3) C. (3,-4) D.(-3,4) 7. What the vertices of the ellipse? A. (-7.3),(-1,3) B. (5,3),(1,3) C. (-1-,3),(-1,-4) D. (-9,3).(-2,3) 8. What is the length the major axis of - - = 1. A. 4 B. 5 C. 7 D.9 9. What is the standard equation of 9x - 4y = 36? A. $ 4 = 1 B. . 25 For numbers 10-12: refer to the given equation of an 9x - 16y = 144. 10. What are the vertices of the hyperbola? A. (0,-4),(0.4) B. (0,-4).(0,-4) C.(4.0),(0.4) D.(-4,0),(0,4) 11. What is the asymptotes of the hyperbola? A. y=+ x C. y=+ D. y= 1x 12. What is the standard equation of the hyperbola? A J_X=1 16 B. 9 13 C. 36 16 D. 16Problem Set 4 1. Which of the following illustrates a series? A. 3,5,7,9,11, ... B. 12 + 22 + 32 + ...+ 102 B. 1/ 3 , 1/ 6, 1 /9, 1/12 , ... D. 1, 0.1, 0.001, 0.0001 2. Which of the following item illustrates a sequence? A. 1, 2, 4, 8, ... C. 12 + 22 + 32 + ...+ 102 B. - 1 +1-1+1-1 D. 1+0 .1+0.001 + 0.0001 3. What kind of sequence is 5, 7, 9, 11, 13? A. Arithmetic C. Geometric B. Harmonic D. Fibonacci 4. Find the 7th term of the sequence 1, 2, 6, 24, ... A. 9,000 B. 5, 040 C. 720 D. 120 5. What kind of sequence is 1, 5, 25, 125, 625? A. Arithmetic B. Geometric C. Harmonic D. Fibonacci 6. If x + 2, 3x + 1, 6x - 2 form an arithmetic sequence, what is x? A. 1 B. 2 B. 3 D. 4 7. Express the sum using sigma notation: - 3 + 8 - 17 + 32 A. Ek=1 (-1)*-1 (k2 + 2*) C. Ek=1 (-1)* (2* + k) B. Ek=1 (-1)* (12 + 2*) D. Ek=1 (-1)* (k2 + 3) 8. Express the sum: 2 + + + + + - using sigma notation. A. C. JI (k+1)(-1)* B. ER=1 k+1 D. ES_ 2+k 9. Use summation notation to write the series 2 + 4 + 6 + 8 + ... for 10 terms. A. E10 2n B. Enel (n + 2) C. Emr , n D. C.10, 2n 10. Evaluate 2k=1 (-1)* 2k A. -8 B. 6 C. 8 C. 10. 11. Find the sum of notation En=, (8.8n - 2.2). A. 79.2 B. 46.2 C. 118.8 D. 77.0 12. Evaluate the sum of 2n=2 10 - 5n. A. 50 B. - 50 C. 55 D. - 55 13. If parabola has vertex (7,9) and directrix y = 3, what is its standard equation? A. (x - 9)' = 5(x + 4) C. (x - 7)' =- 14(y - 7.5) B-(x - 7)" = 12(y - 6) D. (y - 11) = 12(x - 4) 14. If the ellipse has a center at the origin with focus (0,4) vertex at (0,7), find its standard equation. A. B. C. D