This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 7 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 7 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. THE TWO TYPES OF NAPPE:THE UPPER NAPPE AND LOWER NAPPETRUE OR FALSE? A) FALSE. B) TRUE. C) All the above. D) None of the above. Show Answer Correct Answer: B) TRUE. 2. Classify this conic:16y$^{2}$-5x-2y + 5 = 0 A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: C) Parabola. 3. What best describe a CIRCLE? A) It is formed when the intersecting plane is parallel to the edge of the cone. B) It is formed when the intersecting plane is parallel to the base of the cone. C) It is formed when the intersecting plane is slightly tilted so as to make a closed figure. D) It is formed when the intersecting plane is positioned at a steeper angle. Show Answer Correct Answer: B) It is formed when the intersecting plane is parallel to the base of the cone. 4. What is the transverse axis for this hyperbola? $\frac{\left(y-3\right)^2}{9}-\frac{\left(x+2\right)^2}{4}=1$ A) Horizontal. B) Vertical. C) All the above. D) None of the above. Show Answer Correct Answer: B) Vertical. 5. What is the radius of this circle:$x^2+y^2-2x+8y+8=0$ A) 3. B) 4. C) 1. D) 2. Show Answer Correct Answer: A) 3. 6. It is the angle between the generator and the axis ..... A) THE RIGHT ANGLE. B) THE ACUTE ANGLE. C) THE VERTEX ANGLE. D) THE OBTUSE ANGLE. Show Answer Correct Answer: C) THE VERTEX ANGLE. 7. Identify the given conic sections that the equation represents. $y^2+x+10y+26=0$ A) Hyperbola. B) Parabola. C) Ellipse. D) Circle. Show Answer Correct Answer: B) Parabola. 8. When the cutting plane intersects the two cones parallel to their vertical axes and perpendicular to their bases, then the conic section is a ..... A) Parabola. B) Hyperbola. C) Ellipse. D) Circle. Show Answer Correct Answer: B) Hyperbola. 9. Classify this conic:6x$^{2}$ + 6y$^{2}$-3x + 4y = 0 A) Parabola. B) Circle. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: B) Circle. 10. What type of equation is this? $\left(x-5\right)^2+\left(y+1\right)^2=49$ A) Ellipse. B) Circle. C) Hyperbola. D) Parabola. Show Answer Correct Answer: B) Circle. 11. Which correctly describes the parabola:$y=-\frac{1}{2}\left(x+3\right)^2+4$ A) Opens right. B) Opens left. C) Opens down. D) Opens up. Show Answer Correct Answer: C) Opens down. 12. 4x$^{2}$-5y$^{2}$ + 2x-8y + 10 = 0 A) Ellipse. B) Parabola. C) Hyperbola. D) Circle. Show Answer Correct Answer: C) Hyperbola. 13. Does the equation represent horizontal hyperbola or a vertical hyperbola? $\frac{\left(y-1\right)^2}{16}-\frac{\left(x+1\right)^2}{4}=1$ A) Horizontal. B) Vertical. C) All the above. D) None of the above. Show Answer Correct Answer: B) Vertical. 14. Is the point (3, 5) inside, outside or on the circle with equation x$^{2}$ + y$^{2}$ = 9? A) Inside the Circle. B) Outside the Circle. C) On the Circle. D) None of the above. Show Answer Correct Answer: B) Outside the Circle. 15. A degenerate parabola is represented by a point. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 16. Identify the conic represented by the equation without completing the square:$x^2+6x-4y+1=0$ A) Cirlce. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: C) Parabola. 17. How do you graph a parabola given its vertex and directrix? A) Plot the vertex, draw the directrix, and use the focus to determine the shape. The parabola opens towards the focus. B) Draw the vertex and directrix, then sketch a straight line through them. C) Use the vertex to create a circle and then draw the parabola around it. D) Plot the focus, then draw a line perpendicular to the directrix to find the vertex. Show Answer Correct Answer: A) Plot the vertex, draw the directrix, and use the focus to determine the shape. The parabola opens towards the focus. 18. What is $\lim_{x\rightarrow-\infty}5x^5+7x^4-3x^2-2x-8?$ A) $+\infty$. B) $0$. C) $5$. D) $-\infty$. Show Answer Correct Answer: D) $-\infty$. 19. These are sections formed when a double-napped cone is sliced through a plane. A) Degenerate Conics. B) Conics. C) Cone. D) Plane. Show Answer Correct Answer: B) Conics. 20. The shape of a furnace can be described as a/an ..... Furnaces are this shape to help cool the water used to condense the steam extracted from steam turbines into water. A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 21. Identify the given conic sections that the equation represents. $4x^2+y^2+24x-10y+45=0$ A) Parabola. B) Hyperbola. C) Circle. D) Ellipse. Show Answer Correct Answer: D) Ellipse. 22. Find the radius of the circle:$x^2+y^2+24x+10y+160=0$ A) $3$. B) 3 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $3$. 23. A/An ..... is the set of all points in a plane that are equidistant from a given point in the plane called the center. A) Ellipse. B) Circle. C) Parabola. D) Hyperbola. Show Answer Correct Answer: B) Circle. 24. The difference of the focal distances of any point on the hyperbola is equal to A) Length of transverse axis. B) Length of conjugate axis. C) Eccentricity. D) Latus rectum. Show Answer Correct Answer: A) Length of transverse axis. 25. A ..... is a conic section which is mirror-symmetrical and is approximately U-shaped. A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: D) Parabola. 26. What is the center of the circle given the equation? $x^2+y^2=1$ A) (0, 0). B) Not enough information. C) (1, 1). D) (1, 0). Show Answer Correct Answer: A) (0, 0). 27. This conic section is formed when the cutting plane is parallel to the base and perpendicular to the axis. A) Ellipse. B) Hyperbola. C) Circle. D) Parabola. Show Answer Correct Answer: C) Circle. 28. A/An ..... is the set of all points in a plane such that the sum of the distances from two fixed points is constant. A) Hyperbola. B) Ellipse. C) Circle. D) Parabola. Show Answer Correct Answer: B) Ellipse. 29. The plane intersects TWO NAPPES of the double right circular cone as long as the angle between the plane and the vertical axis is GREATER THAN OR EQUAL to the vertex angle. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 30. The equation of the parabola whose focus is located at (-1, 3) and whose directrix has the equation $x=-5$ A) $8\left(x+3\right)^2=\left(y-3\right)$. B) $\left(x+3\right)^2=8\left(y-3\right)$. C) $\left(y-3\right)^2=8\left(x+3\right)$. D) $\left(x-1\right)^2=16\left(y+3\right)$. Show Answer Correct Answer: B) $\left(x+3\right)^2=8\left(y-3\right)$. 31. Which equation shows an ellipse? A) $4x^2+4y^2-16y+81=0$. B) $2x^2-4y^2+18x+120y-159=0$. C) $16x^2+11y^2+54x-61y-121=0$. D) $y^2+x-3y-15=0$. Show Answer Correct Answer: C) $16x^2+11y^2+54x-61y-121=0$. 32. Which is the equation to find c on an ellipse? A) (x-h)$^{2}$ + (y-k)$^{2}$ = r$^{2}$. B) C$^{2}$ = a$^{2}$-b$^{2}$. C) C$^{2}$ = a$^{2}$ + b$^{2}$. D) 1/4d. Show Answer Correct Answer: B) C$^{2}$ = a$^{2}$-b$^{2}$. 33. Which is the most basic equation of a parabola? A) Y =-x$^{2}$. B) Y = x$^{2}$. C) Y =-x$^{2}$-4. D) Y = 2x$^{2}$ + 3. Show Answer Correct Answer: B) Y = x$^{2}$. 34. What conic section is formed when the plane (not necessarily vertical) intersects both cones to form two unbounded curves? A) Hyperbola. B) Circle. C) Ellipse. D) Parabola. Show Answer Correct Answer: A) Hyperbola. 35. Identify the radius of the circle:$\left(x+7\right)^2+\left(y+8\right)^2=64$ A) $8$. B) 8 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $8$. 36. Which of the following is not a property of a circle? A) All radii are equal. B) A diameter is twice the length of the radius. C) The center is equidistant from all points on the circle. D) The circumference is the same as the area. Show Answer Correct Answer: D) The circumference is the same as the area. 37. Identify the given conic sections that the equation represents. $-9x^2+25y^2-100x-125=0$ A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: C) Hyperbola. 38. In an ellipse, the distance between its foci is 6 and the length of the minor axis is 8. Its eccentricity is A) $\frac{3}{5}$. B) $\frac{4}{5}$. C) $\frac{1}{2}$. D) $\frac{1}{\sqrt{52}}$. Show Answer Correct Answer: A) $\frac{3}{5}$. 39. What type of conic section is $6y^2-5x-2y+5=0$ A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: D) Parabola. 40. Which of the following conic sections have transverse and conjugate axis? A) Hyperbola. B) Parabola. C) Ellipse. D) Circle. Show Answer Correct Answer: A) Hyperbola. 41. An ellipse 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: B) False. 42. Find the focus, and directrix of the parabola:x$^{2}$ = 28y A) Focus:(7, 0) Directrix:y=7. B) Focus:(7, 0) Directrix:x=7. C) Focus:(0, 7) Directrix:y=-7. D) Focus:(0, -7) Directrix:x=-7. Show Answer Correct Answer: C) Focus:(0, 7) Directrix:y=-7. 43. What conic section is formed when the plane intersects only one cone to form an unbounded curve or when the plane is parallel to the element? A) Parabola. B) Hyperbola. C) Circle. D) Ellipse. Show Answer Correct Answer: A) Parabola. 44. $r=\frac{18}{2-6\\cos\theta}$ A) X =-3, hyperbola. B) X =-6, ellipse. C) X = 3, parabola. D) X =-6, hyperbola. Show Answer Correct Answer: A) X =-3, hyperbola. 45. For an ellipse, length of major axis is A) A. B) 2a. C) 2b. D) B. Show Answer Correct Answer: B) 2a. 46. If the plane passes through the vertex of the cone, the conic sections formed are called generate conics. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 47. How do you graph a hyperbola? A) Identify the center, vertices, foci, and asymptotes, then sketch the curves approaching the asymptotes. B) Draw a straight line through the center and vertices. C) Plot points randomly on the graph until a curve forms. D) Use a compass to draw a perfect circle around the center. Show Answer Correct Answer: A) Identify the center, vertices, foci, and asymptotes, then sketch the curves approaching the asymptotes. 48. What is the standard form of this equation? $25x^2-4y^2+16y-116=0$ A) $\frac{x^2}{4}-\frac{\left(y+2\right)^2}{25}=1$. B) $\frac{x^2}{4}-\frac{y^2}{25}=1$. C) $\frac{x^2}{4}-\frac{\left(y-2\right)^2}{25}=1$. D) $\frac{x^2}{25}-\frac{\left(y+2\right)^2}{4}=1$. Show Answer Correct Answer: A) $\frac{x^2}{4}-\frac{\left(y+2\right)^2}{25}=1$. 49. Identify the given conic sections that the equation represents. $9x^2-18x-43=4y^2+16y$ A) Ellipse. B) Parabola. C) Hyperbola. D) Circle. Show Answer Correct Answer: B) Parabola. 50. Identify the conic section $\frac{\left(x-4\right)^2}{25}-\frac{\left(y+1\right)^2}{16}=1$ A) Circle. B) Hyperbola. C) Parabola. D) Ellipse. Show Answer Correct Answer: B) Hyperbola. 51. What is its eccentricity of the conic section described by the equation $\frac{x^2}{9}+\frac{y^2}{16}=1$ A) 1. B) 0. C) Greater than 1. D) Less than 1. Show Answer Correct Answer: D) Less than 1. 52. What is the equation for the foci on an ELLIPSE? A) C$^{2}$ = a$^{2}$ + b$^{2}$. B) C$^{2}$ = a$^{2}$-b$^{2}$. C) 1/4d. D) (x-h)$^{2}$ + (y-k)$^{2}$ = r$^{2}$. Show Answer Correct Answer: B) C$^{2}$ = a$^{2}$-b$^{2}$. 53. Which equation is Vertex Form? A) Y=ax$^{2}$+bx+c. B) Y=a(x-h)$^{2}$+k. C) All the above. D) None of the above. Show Answer Correct Answer: B) Y=a(x-h)$^{2}$+k. 54. In the ellipse, $16x^2+y^2=16$ A) $2$. B) $\frac{9}{2}$. C) $\frac{1}{2}$. D) None of these. Show Answer Correct Answer: C) $\frac{1}{2}$. 55. Convert the equationf(x) = x$^{2 }$-12x + 40into vertex form A) F(x) = (x-6)$^{2 }$-4. B) F(x) = (x-6)$^{2 }$+ 4. C) F(x) = (x + 6)$^{2 }$+ 4. D) F(x) = (x + 6)$^{2 }$-4. Show Answer Correct Answer: B) F(x) = (x-6)$^{2 }$+ 4. 56. Equation of the ellipse, whose length of the major axis is 20 and foci are $\left(0, \\pm5\right)$ A) $\frac{x^2}{100}+\frac{y^2}{75}=1$. B) $\frac{x^2}{75}+\frac{y^2}{100}=1$. C) $\frac{x^2}{100}+\frac{y^2}{25}=1$. D) None of these. Show Answer Correct Answer: B) $\frac{x^2}{75}+\frac{y^2}{100}=1$. 57. What is the relationship between the semi-major axis and the focal distance in an ellipse? A) $c^2=a^2+b^2$. B) C = a + b. C) C = a-b. D) $c^2=a^2-b^2$. Show Answer Correct Answer: D) $c^2=a^2-b^2$. 58. Which of the following is a point of intersection between the line x + y =1 and the ellipse x$^{2}$ + 3y$^{2}$ =21? A) (1.5, -1.5). B) (-1.5, 2.5). C) (3, -1.5). D) (1.5, -3). Show Answer Correct Answer: B) (-1.5, 2.5). 59. The endpoints of the minor axis of an ellipse are called the ..... A) Foci. B) Vertices. C) Covertices. D) Center. Show Answer Correct Answer: C) Covertices. 60. Identify the conic section being described by the general form of equation $5x^2+20x+5y^2-20y=25$ A) Parabola. B) Circle. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: B) Circle. ← 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 8Class 11 Mathematics Chapter 11 Conic Sections Quiz 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books