This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 9 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 9 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If a is negative, the parabola opens ..... A) Up/right. B) Down/left. C) All the above. D) None of the above. Show Answer Correct Answer: B) Down/left. 2. Which of the following parabola whose curve opens downward? A) $\left(y-k\right)^2=-4p\left(x-h\right)$. B) $\left(x-h\right)^2=-4p\left(y-k\right)$. C) $\left(x-h\right)^2=4p\left(y-k\right)$. D) $\left(y-k\right)^2=4p\left(x-h\right)$. Show Answer Correct Answer: B) $\left(x-h\right)^2=-4p\left(y-k\right)$. 3. Find the eccentricity of the conic section given by $r = \frac{2}{1-\cos(\theta)}$ A) 2.5. B) 1. C) 2. D) 1.5. Show Answer Correct Answer: B) 1. 4. If the directrix is y = 4 and the focus is at (3, 0), the vertex of the parabola is: A) (3, 2). B) (3.5, 0). C) (0, 3.5). D) (3, 0). Show Answer Correct Answer: A) (3, 2). 5. X + 3 = (y-1)$^{2}$ A) Parabola Opens Right. B) Parabola Opens Up. C) Parabola Opens Down. D) Parabola Opens Left. Show Answer Correct Answer: A) Parabola Opens Right. 6. Given the equation x$^{2 }$+ 8y$^{2 }$-10x + 3y + 10 = 0, what type of conic section is this? A) Ellipse. B) Parabola. C) Circle. D) Hyperbola. Show Answer Correct Answer: A) Ellipse. 7. (y)$^{2}$ =-8xWhat are the coordinates for the focus? A) (0, 2). B) (2, 0). C) (-2, 0). D) (0, -2). Show Answer Correct Answer: C) (-2, 0). 8. 25x$^{2}$ + 5y$^{2}$ + 6x + 4y +2 = 0 A) Hyperbola. B) Ellipse. C) Circle. D) Parabola. Show Answer Correct Answer: B) Ellipse. 9. Determine another point on the parabola with an axis of symmetry at x =-2 and a point (-1, -7). A) (-2, -7). B) (-3, -7). C) (0, -7). D) (5, -7). Show Answer Correct Answer: B) (-3, -7). 10. What is the fixed point that joined two cones in a double right circular cone called? A) VERTEX. B) GENERATOR. C) AXIS. D) ELLIPSE. Show Answer Correct Answer: A) VERTEX. 11. What is the definition of a vertex in a hyperbola? A) A point where the hyperbola intersects its transverse axis. B) The center point of the hyperbola. C) A point where the hyperbola intersects its conjugate axis. D) A point at infinity on the hyperbola. Show Answer Correct Answer: A) A point where the hyperbola intersects its transverse axis. 12. The endpoints of the major axis of an ellipse are called the ..... A) Center. B) Vertices. C) Covertices. D) Foci. Show Answer Correct Answer: B) Vertices. 13. Which shape graph would the equation make? $4x^2+6y-19=0$ A) Hyperbola. B) Parabola. C) Circle. D) Ellipse. Show Answer Correct Answer: B) Parabola. 14. Write the standard form equation of the hyperbola that has vertices at (-2, -3) and (-8, -3) and an asymptote of $y+3=\frac{8}{3}\left(x+5\right)$ A) $\frac{\left(y+3\right)^2}{64}-\frac{\left(x+5\right)^2}{9}=1$. B) $\frac{\left(x+5\right)^2}{64}-\frac{\left(y+3\right)^2}{9}=1$. C) $\frac{\left(x+5\right)^2}{9}-\frac{\left(y+3\right)^2}{64}=1$. D) $\frac{\left(y+3\right)^2}{9}-\frac{\left(x+5\right)^2}{64}=1$. Show Answer Correct Answer: C) $\frac{\left(x+5\right)^2}{9}-\frac{\left(y+3\right)^2}{64}=1$. 15. A hyperbola is the set of points in a plane whose distancesfrom two fixed points in the plane have a constant difference. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 16. Find the sector area of circle with the following:Diameter:22 cmArc Measure:90 degrees A) 94.985 cm$^{2}$. B) 379.94 cm$^{2}$. C) 17.27 cm$^{2}$. D) 8.635 cm$^{2}$. Show Answer Correct Answer: A) 94.985 cm$^{2}$. 17. What is the equation of a circle with radius 4 and center (0, 8)? A) X$^{2}$ + (y-8)$^{2}$ = 4. B) X$^{2}$ + (y+8)$^{2}$ = 16. C) X$^{2}$ + (y-8)$^{2}$ = 16. D) (x-8)$^{2}$ + y$^{2}$ = 4. Show Answer Correct Answer: C) X$^{2}$ + (y-8)$^{2}$ = 16. 18. Diameter is ..... A) The length from one edge of the circle to the middle. B) The length from one edge of the circle to the other and goes across the middle. C) The the length around the circle. D) The size of the circle. Show Answer Correct Answer: B) The length from one edge of the circle to the other and goes across the middle. 19. Which conic section does the equation $r = \frac{5}{3 +\cos(\theta)}$ A) Ellipse. B) Circle. C) Hyperbola. D) Parabola. Show Answer Correct Answer: D) Parabola. 20. If a is positive, the parabola opens ..... A) Up/right. B) Down/left. C) All the above. D) None of the above. Show Answer Correct Answer: A) Up/right. 21. Which of the following shows the standard equation of the circle with center at (0, 0) and a radius of 3? A) $x^2+y^2=9$. B) $x^2+y^2=81$. C) $x^2+y^2=4$. D) $x^2+y^2=3$. Show Answer Correct Answer: A) $x^2+y^2=9$. 22. What best describe a CROSSED LINES? A) It is formed when the intersecting plane is parallel to the edge of the cone. B) It is formed when the intersecting plane parallel to the base of the once intersects with its vertex. C) It is formed when the plane intersects the vertex of the cone and is tangent to it. D) It is formed when the plane passes through the vertex and through both cones. Show Answer Correct Answer: D) It is formed when the plane passes through the vertex and through both cones. 23. X$^{2}$+5xy+8y$^{2}$-10x+3y+10=0What type of conic section is represented by this equation? A) Ellipse. B) Hyperbola. C) Circle. D) Parabola. Show Answer Correct Answer: A) Ellipse. 24. Hyperbola is the figure formed when the plane intersects both nappes and is parallel to the cone axis. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 25. The length of a line segment passing through the center whose endpoints are on the circle. A) Diameter. B) Point. C) Radius. D) Line. Show Answer Correct Answer: A) Diameter. 26. Write the equation of a hyperbola with foci at $(\pm 5, 0)$ $(\pm 3, 0)$ A) $\frac{x^2}{9}-\frac{y^2}{25} = 1$. B) $\frac{x^2}{25}-\frac{y^2}{9} = 1$. C) $\frac{x^2}{16}-\frac{y^2}{9} = 1$. D) $\frac{x^2}{9}-\frac{y^2}{16} = 1$. Show Answer Correct Answer: A) $\frac{x^2}{9}-\frac{y^2}{25} = 1$. 27. A hyperbola has vertices $\left(0, \\pm5\right)$ A) $\frac{y^2}{11}-\frac{x^2}{25}=1$. B) $\frac{y^2}{25}-\frac{x^2}{11}=1$. C) $\frac{x^2}{11}-\frac{y^2}{25}=1$. D) $\frac{x^2}{25}-\frac{y^2}{11}=1$. Show Answer Correct Answer: B) $\frac{y^2}{25}-\frac{x^2}{11}=1$. 28. $x^2-3y^2-2x-8=0$ A) Parabola. B) Ellipse. C) Circle. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 29. What is the equation of a circle centered at (-2, 5) and a radius of 9 A) (x-2)$^{2+}$(y+5)$^{2}$=9. B) (x+2)$^{2}$+(y-5)$^{2}$=9. C) (x-2)$^{2+}$(y+5)$^{2}$=81. D) (x+2)$^{2+}$(y-5)$^{2}$=81. Show Answer Correct Answer: D) (x+2)$^{2+}$(y-5)$^{2}$=81. 30. What is the significance of the conjugate axis in a hyperbola? A) It is the longest diameter of the hyperbola. B) It is perpendicular to the transverse axis and helps define the shape of the hyperbola. C) It represents the distance between the foci of the hyperbola. D) It is the axis along which the hyperbola opens. Show Answer Correct Answer: B) It is perpendicular to the transverse axis and helps define the shape of the hyperbola. 31. The shorter axis of symmetry of an ellipse is called the ..... A) Eccentricity. B) Major axis. C) Axis of symmetry. D) Minor axis. Show Answer Correct Answer: D) Minor axis. 32. Is the locus of a point that moves at a constant distance from a fixed point. A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: A) Circle. 33. -6x$^{2}$ + 4y$^{2}$ + 9x + y =-7 A) Ellipse. B) Parabola. C) Hyperbola. D) Circle. Show Answer Correct Answer: C) Hyperbola. 34. What is the correct equation of a left opening parabola if h=3, k=3, and p=-2? A) $\left(x-3\right)^2=-2\left(y-3\right)$. B) $\left(y+3\right)^2=2\left(x+3\right)$. C) $\left(y-3\right)^2=4\left(x-3\right)$. D) $\left(y-3\right)^2=-8\left(x-3\right)$. Show Answer Correct Answer: D) $\left(y-3\right)^2=-8\left(x-3\right)$. 35. Solve for the equation of the circle which is centered at the point of intersection of the lines $x+3y+3=0$ $x+y+1=0$ A) $x^2+y^2-4y+20=0$. B) $x^2+y^2+2y-24=0$. C) $x^2+y^2+4y-20=0$. D) $x^2+y^2+2y+24=0$. Show Answer Correct Answer: B) $x^2+y^2+2y-24=0$. 36. A moving point maintains equal distance from two parallel lines.Which of the following does the locus P belongs to A) Circle. B) A straight line. C) Two parallel lines. D) Two perpendicular lines. Show Answer Correct Answer: B) A straight line. 37. If the parabola y$^{2}$ = 4ax passes through the point (3, 2), then the length of its latus rectum is(a) 2/3 (b) 4/3(c) 1/3(d) 4 A) . B) . C) . D) . Show Answer Correct Answer: A) . 38. What is the coordinate of the vertex? (y-4)$^{2 }$=-8(x+1) A) (-1, -4). B) (1, -4). C) (-1, 4). D) (1, 4). Show Answer Correct Answer: C) (-1, 4). 39. In a horizontal parabola, which coordinate changes from the vertex to the focus? A) $x$. B) X Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $x$. 40. The following are conic sections except: A) Point. B) Parabola. C) Ellipse. D) Circle. Show Answer Correct Answer: A) Point. 41. Write the equation of a circle in standard form:center:$\left(-6, -15\right)$ $\sqrt[]{5}$ A) $\left(x+6\right)^2+\left(y+15\right)^2=5$. B) (x+6)2+(y+15)2=5 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\left(x+6\right)^2+\left(y+15\right)^2=5$. 42. Which is the equation of a circle with center (2, 1) that passes through (2, 4)? A) (x-2)$^{2}$ + (y-1)$^{2}$ = 3. B) (x + 2)$^{2}$ + (y + 1)$^{2}$ = 3. C) (x + 2)$^{2}$ + (y + 1)$^{2}$ = 9. D) (x-2)$^{2}$ + (y-1)$^{2}$ = 9. Show Answer Correct Answer: D) (x-2)$^{2}$ + (y-1)$^{2}$ = 9. 43. What is the radius of the circle indicated by the equation (x-2)$^{2}$+ y$^{2 }$= 36? A) -6. B) -36. C) 36. D) 6. Show Answer Correct Answer: D) 6. 44. Find the foci of the of the ellipse $\frac{x^2}{25}+\frac{y^2}{16}=1$ A) (0, -3) & (0, 3). B) (0, -9) & (0, 9). C) (-9, 0) & (9, 0). D) (-3, 0) & (3, 0). Show Answer Correct Answer: D) (-3, 0) & (3, 0). 45. A curve called a Conic Section is made if the Plane Intersect a Double Left circular cone and gets three-dimensional curves of different types?? A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 46. It is the intersection of a plane and a double-napped cone A) Circle. B) Radius. C) Conic section. D) Locus. Show Answer Correct Answer: C) Conic section. 47. 6x$^{2}$ + 6y$^{2}$-3x + 4y = 0 A) Ellipse. B) Hyperbola. C) Parabola. D) Circle. Show Answer Correct Answer: D) Circle. 48. Which conic's equation has 2 squares with opposite signs? A) Parabola. B) Ellipse. C) Hyperbola. D) Circle. Show Answer Correct Answer: C) Hyperbola. 49. What is the center of the circle given by the equation $(x-7)^2+(y+1)^2=36$ A) $\left(7, -1\right)$. B) $\left(1, -7\right)$. C) $\left(-7, -1\right)$. D) $\left(-1, 7\right)$. Show Answer Correct Answer: A) $\left(7, -1\right)$. 50. Write an equation for this parabola:focus (3, 2)directrix y = 8 A) $x=-\frac{1}{24}\left(y-3\right)^2+2$. B) $y=-\frac{1}{12}\left(x-3\right)^2+5$. C) $y=-\frac{1}{24}\left(x-3\right)^2+2$. D) $x=-\frac{1}{12}\left(y-3\right)^2+5$. Show Answer Correct Answer: B) $y=-\frac{1}{12}\left(x-3\right)^2+5$. 51. (y-4)$^{2}$ =-8(x+1)What are the coordinates for the focus? A) (-1, 2). B) (-1, 6). C) (-3, 4). D) (1, 4). Show Answer Correct Answer: C) (-3, 4). 52. Which of the following is the general equation of the hyperbola? A) $Ax^2+Ay^2+Cx+Dy+E=0$. B) $Ax^2+By^2+Cx+Dy+E=0$. C) $Ax^2+Cx+Dy+E=0$. D) $Ax^2-By^2+Cx+Dy+E=0$. Show Answer Correct Answer: D) $Ax^2-By^2+Cx+Dy+E=0$. 53. Determine the centre and radius of a circle $x^2-6x+y^2+4y+4=0$ A) Centre (-2, 3) and radius = 3. B) Centre (4, -6) and radius = 9. C) Centre (-6, 4) and radius = 9. D) Centre (3, -2) and radius = 3. Show Answer Correct Answer: D) Centre (3, -2) and radius = 3. 54. What is the focal width? $-\frac{1}{12}\left(y-2\right)^2-3=x$ A) 4. B) 3. C) -3. D) 12. Show Answer Correct Answer: D) 12. 55. The equation 6x$^{2}$ + 6y$^{2}$-3x + 4y = 0 will be a ..... A) Hyperbola. B) Circle. C) Ellipse. D) Parabola. Show Answer Correct Answer: B) Circle. 56. What is the equation describing the relationship between dimensions and foci of a hyperbola? A) (x-h)$^{2}$ + (y-k)$^{2}$ = r$^{2}$. B) 4p. C) C$^{2}$ = a$^{2}$ + b$^{2}$. D) C$^{2}$ = a$^{2}$-b$^{2}$. Show Answer Correct Answer: C) C$^{2}$ = a$^{2}$ + b$^{2}$. 57. Which of the following represents a circle centered at the origin with radius 6? A) $x^2+y^2=36$. B) $x^2+y^2=12$. C) $\left(x+6\right)+\left(y+6\right)^2=0$. D) $\left(x-6\right)+\left(y-6\right)^2=36$. Show Answer Correct Answer: A) $x^2+y^2=36$. 58. Write an equation for the hyperbola with the given characteristics:foci (8, 0) (8, 8); vertices (8, 2) (8, 6) A) $\frac{\left(y-5\right)^2}{4}-\frac{\left(x-2\right)^2}{12}=1$. B) $\frac{\left(y-4\right)^2}{4}-\frac{\left(x-8\right)^2}{12}=1$. C) $\frac{\left(y-4\right)^2}{4}-\frac{\left(x-8\right)^2}{12}=1$. D) $\frac{\left(y-4\right)^2}{2}-\frac{\left(x-5\right)^2}{7}=1$. Show Answer Correct Answer: B) $\frac{\left(y-4\right)^2}{4}-\frac{\left(x-8\right)^2}{12}=1$. 59. Identify the conic section A) Hyperbola. B) Parabola. C) Ellipse. D) Circle. Show Answer Correct Answer: C) Ellipse. 60. What do you call theset of all points P in a plane such that the differences of the distances fromP to two fixed points is a constant? A) Ellipse. B) Parabola. C) Hyperbola. D) Circle. Show Answer Correct Answer: C) Hyperbola. ← PreviousNext →Related QuizzesScience QuizzesClass 11 QuizzesClass 11 Mathematics Chapter 11 Conic Sections Quiz 1Class 11 Mathematics Chapter 11 Conic Sections Quiz 2Class 11 Mathematics Chapter 11 Conic Sections Quiz 3Class 11 Mathematics Chapter 11 Conic Sections Quiz 4Class 11 Mathematics Chapter 11 Conic Sections Quiz 5Class 11 Mathematics Chapter 11 Conic Sections Quiz 6Class 11 Mathematics Chapter 11 Conic Sections Quiz 7Class 11 Mathematics Chapter 11 Conic Sections Quiz 8 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books