ASAP I NEED SOLUTION OR EXPLANATION FOR EACH ITEM ( ANSWER IT ALL CORRECTLY)

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 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 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. Hyperbolaeixe-x off of lelisisq eyewis al Blochsqvri s 10 21X6 9219vans] an 11. Which of the following is the standard form of the equation of a parabola with a horizontal axis of symmetry a. y = ax2 + bx + c b. x = ay?+ by+ c by = a (x - h)2+ k d. x = a(y - h)2+ k 12. What is the vertex of the parabola defined by the equation x = y2 - 5? a. (0,0) b. ( -5,0) C. (5,0) d. (0.-5)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. 18. Which of the following is standard form of the equation of an ellipse defined by 25x2 + 16y2 - 100 = 0 a. = 1 b. - + = 1 C. - + - - = 1 d. = - 100 25 25 = 1 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)22. What is the standard form of the equation x2 - 36y2 - 20x + 64 = 0 ? erij al anal *2 gill al a.. (x-10)2 36 C.(x - 10)2 _ 12 very 36 1 b (x-9)2 (y+4) 2 29)1 (y+4)2 4 9 - = 1 9" neloilfood ard 24. Which of the following can be an equation of the asymptotes of the hyperbola defined by d ( x-1)2 (y-2)2 16 = 1? 4 a. y - 2x + 3 C. y = 2x + 2 a(20 - 1)(20 4 1) paivlo2 by= =x+2 d. = =x+2 " segille ns , elmvia s ainseeger nollsube newin erdi li eningeted noiteupe nevip erdi vilamia (ross a " bris slochegyn s as = ( 1 - () + ( 29. Which of the following is the sum of the infinite series 2n=1 10 a. b. 0.333 c. 0.0333 d. 3 1024. Which of the following can be an equation of the asymptotes of the hyperbola defined by d (x-1)2 (y-2)2 = 1? 16 4 a. y - 2x + 3 c. y = 2x + 1(20 -1)(2041) NIW by = =x+ 3 POS d. = =x + 5 s segille so alwins alneeenge1 noisube newp erdi li enimmer S. 28. Evaluate En=3(-2n2)n a. -24 b. - 4 c. 18 d. 36 29. Which of the following is the sum of the infinite series _=(Ton) decades a. b. 0.333 C. 0.0333 d. 3 10v. 38. What is the coefficient of the 4th term in the expansion (25 OD OnS DISWE 3x)3 aslocher a. -216 b. -96 C. 81 d. 216