Rules in answering: Justify your chosen answer by explaining the reason/solution of your choice ("all" of the items need 100% correct solution/explanation thank you)

1. It is formed when the plane intersects only one cone to form an unbounded curve. It is also a set points in a plane equidistant from a fixed point. a. Circle b. Parabola c. Ellipse d. Hyperbola 2. It is formed when the plane is horizontal. a. Circle b. Parabola c. Ellipse d. Hyperbola 3. It is an intersection of a right cone and a plane. These are particular class of curves which often times appear in nature. a. Conic Section b. Circle c. Ellipse d. Hyperbola 4. It is formed when the tilted plane intersects only one cone to form an unbounded curve. a. Circle b. Parabola C. Ellipse d. Hyperbola 5. It is formed when the plane intersects both cones to form two unbounded curves. a. Circle b. Parabola c. Ellipse d. Hyperbola 6. Which of the following is the graph of the equation (x - 1)2 + (y + 2)2 = 9? a. Circle b. Parabola c. Ellipse d. Hyperbola 7. What is the general form of the equation of a circle whose center is at (3,-4) and has a radius of 4 units. a. x' + yz + 6x - 8y + 9= 0 b. x2 + y2 - 6x + 8y + 9= 0 C. x2 + yz + 6x - 8y - 9=0 d. x2 + y2 - 6x + 8y - 9= 0 8. What are the coordinates of the center of the circle defined by the equation x2 + y2 - 10x - 10y + 41 = 0? a. (0,6)b. (-8,5) c. (6,4) d. (5,5) 9. Which of the following is not true about the circle defined by the equation (x - 8)2 + (y + 9)2 = 18? a. The center is at (8,-9) b. The radius of the circle is 18 c. The circle contains the point (11,-6) d. The center of the circle is in quadrant IV.13. Which of the following is true about the parabola whose equation is y = x2 - 2x - 5? a. The vertex is at (-1,6) b. The parabola opens downward c. The parabola passes through the point (0, -5) d. The axis of symmetry is x = 1. 14. Which of the following terms is known as the lowest or the highest point of the graph of a parabola? a. directrix b. axis of symmetry c. vertex d. focus 15. Which of the following is the vertex form of the equation of the parabola defined by x = -2y2 - 12y - 14? a. x = -2(y + 3)2+4 C. x = -2(y - 6)2 - 10 b. x = (-2y + 3)2 +8 d. x = (-y+6)2 - 12 16. Which of the following is always true about an ellipse? a. The major and minor axes have equal lengths. b. The latus rectum of the ellipse is parallel to the major axis c. The major and minor axes intersect at the center of the ellipse d. The latus rectum passes through the center of the origin 17. The center of an ellipse is at the origin. The vertices are at points (-4,0) and (4,0) and the co-vertices are at (0,3) and (0, -3). What is the length of its major axis? a. 3 b. 4 C. 6 d. 8 18. Which of the following is standard form of the equation of an ellipse defined by 25x2 + 16y2 - 100 = 0 y2 a. = 1 b . + = 1 C. = + = 1 - + : = 1 100 25 25 20 20 19. Which of the following is not a property of the ellipse defined by ~ + = 1? 36 49 a. The center is at the origin b. The vertices are at points (0,7) and (0,-7). c. The length of the major axis is 12 units. d. The foci are at (0, v13) and (0, - V13)20. Which of the following is the graph of the ellipse defined by (x + 2)2 + ( 121=17 a. elin to eviber s esd bris (b-,E) is ai sinso sendw elonio s to noitsups ent to mol Ising C. 0 = e+v8 - xo 3 - 0 = e+ v8 + xa 0 =e- v8 -xo -2 0 = e-v8+ x x(1 - Sy + $y noitsupe erdiva bergleb elorio ed to reingo erit to getsnibrood b. sor = s(e +x) + $(8 - d.) nollsups edited beniteb alario erif tuods aunt ton al pritwollol (e-,8) 16 2i 81 ai elorio erit to a (8-, It) iniog erit enistrioo .VI insibsup ni el elorio erit to 16 Srigene erdt nevin beineasiger slorio erdt to noitsupe erit to mot bisbnista 21. Which of the following is true abut a hyperbola? A = S( S+ ) + a. The transverse and the conjugate axes intersect at the center of the hyperbola $(S + ) + b. The asymptotes intersect the branches of the graph of the hyperbola. A = S ( S - 1 + S c. The asymptotes of a hyperbola with a vertical transverse axis is defined by y = + x + d. The transverse axis of a hyperbola is always parallel to the x-axis. Sitemmve to eixe Isinoshort s liw slodsisq is to noilsupe end to mot bisbrisla endl ai gniwollot er