This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 2 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The area of the triangle formed by the lines joining the vertex of the parabola x$^{2}$ = 12y to the ends of its latus rectum is A) 16 sq.unit. B) 12 sq.unit. C) 24 sq.unit. D) 18 sq.unit. Show Answer Correct Answer: D) 18 sq.unit. 2. How can you tell the difference between an ellipse and a circle? A) If the ellipse open curved shape is a line. B) If the circle closed curved shape is flat. C) If the ellipse is close to the circle. D) If the circle is infinite line. Show Answer Correct Answer: B) If the circle closed curved shape is flat. 3. Which shape graph would the equation make? $4x^2+4y^2-19=0$ A) Parabola. B) Circle. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: B) Circle. 4. What is the directrix of the parabola with equation $\left(x-4\right)^2=8\left(y+3\right)$ A) X= 5. B) Y=-5. C) Y =-3. D) Y= 2. Show Answer Correct Answer: B) Y=-5. 5. The center of the circle given by the equation $\left(x+4\right)^2+\left(y-1\right)^2=16$ A) $\left(-4, 1\right)$. B) $\left(4, -1\right)$. C) $\left(-1, 4\right)$. D) $\left(1, 4\right)$. Show Answer Correct Answer: A) $\left(-4, 1\right)$. 6. What is p in the equation:(y-9)$^{2 }$=$^{ }$-40(x+4) A) 40. B) 10. C) -10. D) -40. Show Answer Correct Answer: C) -10. 7. Which is the center of the circle with the equation(x-3)$^{2}$ + (y + 5)$^{2}$ = 16 A) (3, 5). B) (5, -3). C) (3, -5). D) (-3, 5). Show Answer Correct Answer: C) (3, -5). 8. What is the equationof the circle given its center at (0, 0) and a radius of $\sqrt{2}$ A) $x^2+y^2=\sqrt{2}$. B) $x^2+y^2=2$. C) $x^2+y^2=-2$. D) $x^2+y^2=\sqrt{-2}$. Show Answer Correct Answer: B) $x^2+y^2=2$. 9. Identify the conic section described by the equation 25x$^{2}$ + 5y$^{2}$ + 6x + 4y +2 = 0. A) Ellipse. B) Hyperbola. C) Circle. D) Parabola. Show Answer Correct Answer: A) Ellipse. 10. Which of the following is the equation of the circle with a center at (5, 10) and diameter = 10 A) (x-5)$^{2}$ + (y-10)$^{2}$ = 25. B) (x-5)$^{2}$ + (y-10)$^{2}$ = 10. C) (x + 5)$^{2}$ + (y + 10)$^{2}$ = 25. D) (x-5)$^{2}$ + (y-10)$^{2}$ = 100. Show Answer Correct Answer: A) (x-5)$^{2}$ + (y-10)$^{2}$ = 25. 11. The circle is a special kind of ellipse. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 12. Given the equation x$^{2 }$+ y$^{2 }$-10x + 3y + 10 = 0, what type of conic section is this? A) Hyperbola. B) Circle. C) Ellipse. D) Parabola. Show Answer Correct Answer: B) Circle. 13. The focus is p units away from the vertex. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 14. What is the equation of the ellipse that has a horizontal semi-major axis of length five, and a semi-minor axis of length 3, that is centered at the point (6, -7)? A) $\frac{\left(x-6\right)^2}{25}+\frac{\left(y+7\right)^2}{9}=1$. B) 25(x-6)2+9(y+7)2=1 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{\left(x-6\right)^2}{25}+\frac{\left(y+7\right)^2}{9}=1$. 15. How will you know if an ellipse is vertical? A) The denominators will all be the same. B) The bigger denominator will be under the x. C) The bigger denominator will be under the y. D) None of the above. Show Answer Correct Answer: C) The bigger denominator will be under the y. 16. In which conic section is a always first? A) Hyperbola. B) Ellipse. C) Circle. D) Parabola. Show Answer Correct Answer: A) Hyperbola. 17. The following is a:$\frac{\left(y-2\right)^2}{4}-\frac{\left(x+3\right)^2}{9}=1$ A) Ellipse. B) Hyperbola. C) Circle. D) Parabola. Show Answer Correct Answer: B) Hyperbola. 18. Find the length of the semi-major axis of an ellipse with the following properties:eccentricity = 1/3 Distance between foci is 2. A) 1. B) 6. C) 3. D) 4. Show Answer Correct Answer: C) 3. 19. Find the equation of a parabola that passes through point (2, 1) with vertex (0, 0). A) Y =-$^{1}$/$_{4}$x$^{2}$ + 2. B) Y = $^{1}$/$_{4}$x$^{2}$ + 2. C) Y =-$^{1}$/$_{4}$x$^{2 }$-2. D) Y = 1$^{1}$/$_{4}$x$^{2 }$-2. Show Answer Correct Answer: A) Y =-$^{1}$/$_{4}$x$^{2}$ + 2. 20. Conic sections are the curves obtained by intersecting a ..... and a right circular cone. A) Side. B) Angle. C) Axis. D) Plane. Show Answer Correct Answer: D) Plane. 21. Write an equation for the hyperbola with the given characteristics:vertices (3, 0) (-3, 0); asymptotes $y=\pm\frac{2}{3}x$ A) $\frac{x^2}{3}-\frac{y^2}{5}=1$. B) $\frac{x^2}{64}-\frac{y^2}{25}=1$. C) $\frac{x^2}{9}-\frac{y^2}{4}=1$. D) $\frac{y^2}{4}-\frac{x^2}{16}=1$. Show Answer Correct Answer: C) $\frac{x^2}{9}-\frac{y^2}{4}=1$. 22. Which of the following is not a degenerate conic? A) A straight line. B) A point. C) Three straight lines. D) Two intersecting lines. Show Answer Correct Answer: C) Three straight lines. 23. Which direction would this parabola face? $-\frac{1}{12}\left(y-2\right)^2-3=x$ A) Open Down. B) Open Left. C) Open Right. D) Open Up. Show Answer Correct Answer: B) Open Left. 24. Write the equation of a circle in standard form:center:$\left(14, 17\right)$ $\left(15, 17\right)$ A) $\left(x-14\right)^2+\left(y-17\right)^2=1$. B) (x-14)2+(y-17)2=1 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\left(x-14\right)^2+\left(y-17\right)^2=1$. 25. What best describe a POINT? 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: B) It is formed when the intersecting plane parallel to the base of the once intersects with its vertex. 26. What is the directrix of a parabola? A) A fixed point used in the definition of the parabola. B) A fixed line used in the definition of the parabola. It is perpendicular to the axis of symmetry and is located at a distance from the vertex. C) The vertex of the parabola itself. D) The focus of the parabola. Show Answer Correct Answer: B) A fixed line used in the definition of the parabola. It is perpendicular to the axis of symmetry and is located at a distance from the vertex. 27. Which way does the parabola below open? (x+3)$^{2}$ = 4(y+5) A) Left. B) Down. C) Up. D) Right. Show Answer Correct Answer: C) Up. 28. What type of conic section is described by the polar equation $r = \frac{3}{2 + 2\sin(\theta)}$ A) Parabola. B) Ellipse. C) Circle. D) Hyperbola. Show Answer Correct Answer: A) Parabola. 29. Which conic section is described by the equation x$^{2 }$+ 9y$^{2 }$= 9? A) Ellipse. B) Hyberbola. C) Parabola. D) Circle. Show Answer Correct Answer: A) Ellipse. 30. Which of the following is a set of points that are equidistant from a certain point? A) Ellipse. B) Hyperbola. C) Parabola. D) Circle. Show Answer Correct Answer: D) Circle. 31. Find the center of the parabola $y^2+x+y=0$ A) $\left(\frac{1}{4}, \frac{-1}{2}\right)$. B) $\left(\frac{-1}{2}, \frac{1}{4}\right)$. C) $\left(1, \frac{-1}{2}\right)$. D) (1, -1). Show Answer Correct Answer: A) $\left(\frac{1}{4}, \frac{-1}{2}\right)$. 32. These are curves obtained by intersecting a plane and a right circular cone. A) Parabolas. B) Cross Sections. C) Circles. D) Conic Sections. Show Answer Correct Answer: D) Conic Sections. 33. Which shape graph would the equation make? $-5x^2+4y^2-2x+5x-19=0$ A) Hyperbola. B) Parabola. C) Circle. D) Ellipse. Show Answer Correct Answer: A) Hyperbola. 34. When x part is squared, the parabola open up or down A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 35. What is a conic section? A) An intersection between a plane and a double-napped cone. B) An intersection between a line and a double-napped cone. C) An intersection between a plane and a cylinder. D) An intersection between a plane and a sphere. Show Answer Correct Answer: A) An intersection between a plane and a double-napped cone. 36. If the plane intersects the double right circular cone at its VERTEX:THE HYPERBOLA BECOMES A ..... ?? A) LINES. B) INFINITE LINE. C) TWO INTERSECTING LINES. D) POINT. Show Answer Correct Answer: C) TWO INTERSECTING LINES. 37. What is the directrix of the parabola(x-4)$^{2 }$= 8(y + 3)? A) Y=-5. B) X= 5. C) Y= 2. D) Y =-3. Show Answer Correct Answer: A) Y=-5. 38. What is the equation for the focus points on an ELLIPSE? A) C$^{2}$ = a$^{2}$-b$^{2}$. B) C$^{2}$ = a$^{2}$ + b$^{2}$. C) (x-h)$^{2}$ + (y-k)$^{2}$ = r$^{2}$. D) 1/4d. Show Answer Correct Answer: A) C$^{2}$ = a$^{2}$-b$^{2}$. 39. A symmetrical open curve formed by the intersection of the vertical axis with a plane at a smaller angle with its vertex axis are called? A) CIRCLE. B) PARABOLA. C) HYPERBOLA. D) ELLIPSE. Show Answer Correct Answer: C) HYPERBOLA. 40. Find the equation of the specified hyperbola with its center at the origin:Vertices:$\left(0, \pm2\right)$ $\left(0, \pm4\right)$ A) $\frac{y^2}{4}-\frac{x^2}{12}=1$. B) 4y2-12x2=1 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{y^2}{4}-\frac{x^2}{12}=1$. 41. What type of conic section if a plane parallel to side of cone? A) Ellipse. B) Circle. C) Hyperbola. D) Parabola. Show Answer Correct Answer: D) Parabola. 42. Write an equation for the ellipse with each set of characteristics. Then answer the question.Vertices (-7, -3), (13, -3)foci (-5, -3 ), (11, -3)What is the a and b value of the ellipse? ..... A) (x+7)$^{2}$/10 + (y+3)$^{2}$/6 = 1. B) (x-3)$^{2}$/100 + (y+3)$^{2}$/64 = 1. C) (x-3)$^{2}$/100 + (y+3)$^{2}$/36 = 1. D) (x+7)$^{2}$/36 + (y+3)$^{2}$/100 = 1. Show Answer Correct Answer: C) (x-3)$^{2}$/100 + (y+3)$^{2}$/36 = 1. 43. The vertex of the parabola is(-3, 4), opens down, and has a compression factor of 1/2. What is the equation of the parabola? A) Y-1/2(x+3)$^{2}$+ 4. B) Y = 1/2(x-3)$^{2}$ + 4. C) Y =-3(x-1/2)$^{2}$-4. D) Y=-1/2(x-3)$^{2}$+ 4. Show Answer Correct Answer: A) Y-1/2(x+3)$^{2}$+ 4. 44. What is the eccentricity of the conic section having the equation $x^2=20y$ A) Greater than 1. B) Less than 1. C) 0. D) 1. Show Answer Correct Answer: D) 1. 45. Equation of ellipse in which b = 3, c = 4, centre at the origin; foci on the x axis is A) $\frac{x^2}{9}+\frac{y^2}{25}=1$. B) $\frac{x^2}{9}-\frac{y^2}{25}=1$. C) $\frac{x^2}{25}+\frac{y^2}{9}=1$. D) None of these. Show Answer Correct Answer: C) $\frac{x^2}{25}+\frac{y^2}{9}=1$. 46. What is the equation of the directrix? (y-4)$^{2 }$=-8(x+1) A) Y = 2. B) X = 1. C) X =-3. D) Y = 6. Show Answer Correct Answer: B) X = 1. 47. If the vertex of the parabola is the point (-3, 0) and the directrix is the line x + 5 = 0, then its equation is A) Y$^{2}$ = 8 (x + 3). B) X$^{2}$ =-8 (y + 3). C) X$^{2}$ = 8 (y + 3). D) Y$^{2}$ =-8 (x + 3). Show Answer Correct Answer: A) Y$^{2}$ = 8 (x + 3). 48. The focus is inside the parabola A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 49. What direction does the parabola open? $\left(y-9\right)^2=-40\left(x+4\right)$ A) Down. B) Left. C) Up. D) Right. Show Answer Correct Answer: B) Left. 50. How do you know that if a hyperbola open up or down? A) X comes first. B) A is in the first denominator. C) Y comes first. D) B is in the first denominator. Show Answer Correct Answer: C) Y comes first. 51. If the values of a and b on an ellipse are the same, then it becomes a ..... A) Hyperbola. B) Ellipse. C) Circle. D) Parabola. Show Answer Correct Answer: C) Circle. 52. Given a parabola with a vertex at (4, 3) and a directrix of y=1, write the equation of the parabola. A) $y=\frac{1}{8}\left(x-4\right)^2+3$. B) Y=81(x-4)2+3 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $y=\frac{1}{8}\left(x-4\right)^2+3$. 53. What is the equation of the circle? A) (x-h)$^{2}$ + (y-k)$^{2}$ = r$^{2}$. B) (x + h)$^{2}$ + (y + k)$^{2}$ = r$^{2}$. C) (x-h)$^{2}$ + (y-k)$^{2}$ = r. D) (x + h)$^{2}$ + (y + k)$^{2}$ = r. Show Answer Correct Answer: A) (x-h)$^{2}$ + (y-k)$^{2}$ = r$^{2}$. 54. Which of the following is not a conic section? A) Hyperbola. B) Circle. C) Cylinder. D) Ellipse. Show Answer Correct Answer: C) Cylinder. 55. What is a line that remain fixed in the conic section? A) VERTEX. B) GENERATOR. C) AXIS. D) CONIC SECTION. Show Answer Correct Answer: C) AXIS. 56. Identify the foci of the ellipse given by the equation $\frac{x^2}{25} + \frac{y^2}{9} = 1$ A) $(\pm \sqrt{16}, 0)$. B) $(0, \pm 3)$. C) $(\pm 4, 0)$. D) $(\pm 5, 0)$. Show Answer Correct Answer: A) $(\pm \sqrt{16}, 0)$. 57. Write an equation for the ellipse with each set of characteristics. Then answer the question.Vertices ( 4, 3), (4, -7)Length of minor axis is 8what is the center of this ellipse? A) (x-4)$^{2}$/4 + (y-3)$^{2}$/5 = 1. B) (x-4)$^{2}$/16 + (y+2)$^{2}$/25 = 1. C) (x-4)$^{2}$/25 + (y-3)$^{2}$/16 = 1. D) (x-4)$^{2}$/25 + (y+2)$^{2}$/64 = 1. Show Answer Correct Answer: B) (x-4)$^{2}$/16 + (y+2)$^{2}$/25 = 1. 58. Which parabola opens left? A) X$^{2 }$=-y. B) Y$^{2}$ =-x. C) Y$^{2}$ = x. D) X$^{2 }$= y. Show Answer Correct Answer: B) Y$^{2}$ =-x. 59. A cone is cut by a plane that is perpendicular to its base. Which of the following could be the shape of the cross-section formed? A) Circle. B) Rectangle. C) Trapezoid. D) Triangle. Show Answer Correct Answer: D) Triangle. 60. Identify the conic section described by the equation 36x$^{2}$-5y$^{2}$ + 8x + 2y + 12 = 0. A) Parabola. B) Ellipse. 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 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 8Class 11 Mathematics Chapter 11 Conic Sections Quiz 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books