This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. $16x^2-9y^2=144$ A) 16/3. B) 32/3. C) 8/3. D) 4/3. Show Answer Correct Answer: D) 4/3. 2. Which conic section is represented by the equation2x$^{2}$-16x-12y + 20 = 0 A) Hyperbola. B) Ellipse. C) Parabola. D) Circle. Show Answer Correct Answer: C) Parabola. 3. A circle is centeredat the point $(1, -5)$ $3x+4y=8$ A) $\left(x-1\right)^2+\left(y-5\right)^2=25$. B) $\left(x+5\right)^2+\left(y+1\right)^2=25$. C) $\left(x-1\right)^2+\left(y+5\right)^2=25$. D) $\left(x+5\right)^2+\left(y-1\right)^2=25$. Show Answer Correct Answer: C) $\left(x-1\right)^2+\left(y+5\right)^2=25$. 4. What is the center of this circle: A) ( 0, 5 ). B) ( 0, 4 ). C) ( 0, 7 ). D) ( 0, 6 ). Show Answer Correct Answer: A) ( 0, 5 ). 5. What is the definition of a locus of points? A) The sum of two numbers. B) The product of two numbers. C) A set of points that satisfy a certain condition or property. D) The square root of a number. Show Answer Correct Answer: C) A set of points that satisfy a certain condition or property. 6. If the directrix is $y=4$ A) 2. B) 8. C) -8. D) -2. Show Answer Correct Answer: D) -2. 7. What equation is used to find foci points on an ellipse A) $c^2=a^2-b^2$. B) $c^2=a^2+b^2$. C) All the above. D) None of the above. Show Answer Correct Answer: A) $c^2=a^2-b^2$. 8. What is the coordinate of the center of the following circle:(x-5)$^{2}$ + (y + 3)$^{2}$ = 36? A) Center (5, 3). B) Center (-5, 3). C) Center (5, -3). D) Center (-5, -3). Show Answer Correct Answer: C) Center (5, -3). 9. In which conic section is a always greater than b? A) Ellipse. B) Hyperbola. C) Circle. D) Parabola. Show Answer Correct Answer: A) Ellipse. 10. Given radius of 3 and center of (-4, 6) A) (x + 4)$^{2 }$+ (y-6)$^{2}$ = 3. B) (x-4)$^{2 }$+ (y + 6)$^{2}$ = 9. C) (x + 4)$^{2 }$+ (y-6)$^{2}$ = 9. D) (x + 6)$^{2 }$+ (y-4)$^{2}$ = 9. Show Answer Correct Answer: C) (x + 4)$^{2 }$+ (y-6)$^{2}$ = 9. 11. What type of conic section is $36x^2-5y^2+8x+2y+12=0$ A) Hyperbola. B) Circle. C) Parabola. D) Ellipse. Show Answer Correct Answer: A) Hyperbola. 12. Write a general form equation in the xy-plane for the rotated conic at the given angle:$\frac{\left(x'\right)^2}{2}+\frac{\left(y'\right)^2}{10}=1, \\\\theta=\frac{\pi}{6}$ A) $4x^2+4\sqrt[]{3}xy+4y^2-4=0$. B) $5x^2+2\sqrt[]{3}xy+7y^2-16=0$. C) $3x^2-14x-y^2-12\sqrt[]{3}y=0$. D) $4x^2+2\sqrt[]{3}xy+2y^2-10=0$. Show Answer Correct Answer: D) $4x^2+2\sqrt[]{3}xy+2y^2-10=0$. 13. What is the center-radius form of the equation of acircle? A) $\left(x-h\right)^2-\left(y-k\right)^2=r^2$. B) $\left(x-h\right)^2+\left(y-k\right)^2=r^2$. C) $\left(x+h\right)^2-\left(y+k\right)^2=r^2$. D) $\left(x+h\right)^2+\left(y+k\right)^2=r^2$. Show Answer Correct Answer: B) $\left(x-h\right)^2+\left(y-k\right)^2=r^2$. 14. If we know the center of an ellipse being at (-9 ; 2), the parameter a = 12 and the parameter b = 7. The equation for a vertical ellipse that matches this description is: A) $\frac{\left(x-9\right)^2}{49}+\frac{\left(y+2\right)^2}{144}=1$. B) $\frac{\left(x+9\right)^2}{49}+\frac{\left(y-2\right)^2}{144}=1$. C) $\frac{\left(x+9\right)^2}{7}+\frac{\left(y-2\right)^2}{12}=1$. D) $\frac{\left(x+9\right)^2}{144}+\frac{\left(y-2\right)^2}{49}=1$. Show Answer Correct Answer: B) $\frac{\left(x+9\right)^2}{49}+\frac{\left(y-2\right)^2}{144}=1$. 15. Given the ellipse with equation 9x$^{2}$ + 25y$^{2}$ = 225, find the eccentricity. A) 2/3. B) 3/5. C) 5/4. D) 4/5. Show Answer Correct Answer: D) 4/5. 16. What do you call the perimeter of the base? A) DIRENTRIX. B) NAPPE. C) HYPERBOLA. D) AXIS. Show Answer Correct Answer: A) DIRENTRIX. 17. The parabola y = x$^{2}$-2x + 4 will have a vertex of A) (-1, 3). B) (1, 2). C) (-1, 2). D) (1, 3). Show Answer Correct Answer: D) (1, 3). 18. What is the direction of the transverse axis of the hyperbola given by the equation $\frac{y^2}{25}-\frac{x^2}{16} = 1$ A) Horizontal. B) Vertical. C) Diagonal. D) None of the above. Show Answer Correct Answer: B) Vertical. 19. What is the center? $\left(x+4\right)^2+\left(y-2\right)^2=100$ A) (4, 2). B) (4, -2). C) (-4, 2). D) (-4, -2). Show Answer Correct Answer: C) (-4, 2). 20. Identify the conic $\frac{\left(x-2\right)^2}{4}+\frac{\left(y-5\right)^2}{16}=1$ A) Horizontal Hyperbola. B) Circle. C) Horizontal Ellipse. D) Vertical Ellipse. Show Answer Correct Answer: D) Vertical Ellipse. 21. What do you call theconic section where any point is at an equal distance from a fixed point and afixed straight line? A) Ellipse. B) Parabola. C) Circle. D) Hyperbola. Show Answer Correct Answer: B) Parabola. 22. Equation of the circle with centre on the y-axis and passing through the origin and the point (2, 3) is A) $x^2+y^2+13y=0$. B) $3x^2+3y^2+13x+3=0$. C) $6x^2+6y^2-13x=0$. D) None of the above. Show Answer Correct Answer: D) None of the above. 23. What is the equation for the 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$^{2}$. 24. What is the eccentricity of the conic section represented by the equation $\frac{x^2}{25}+\frac{y^2}{36}=1$ A) 1. B) 0. C) Less than 1. D) Greater than 1. Show Answer Correct Answer: C) Less than 1. 25. Write the equation of a circle in standard form:$\left(x+5\right)^2+\left(y+7\right)^2=36$ A) $\left(x+10\right)^2+\left(y+11\right)^2=36$. B) (x+10)2+(y+11)2=36 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\left(x+10\right)^2+\left(y+11\right)^2=36$. 26. Identify the given conic sections that the equation represents. $36x^2+5y^2-90y-495=0$ A) Hyperbola. B) Parabola. C) Ellipse. D) Circle. Show Answer Correct Answer: C) Ellipse. 27. Classify this conic:-60x$^{2}$ + 40y$^{2}$ + 9x + y =-7 A) Parabola. B) Ellipse. C) Hyperbola. D) Circle. Show Answer Correct Answer: C) Hyperbola. 28. A parabola is the set of all points equidistant from the focus and the directrix. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 29. Find the eccentricity of the conic section given by $r = \frac{1}{0.5 +\cos(\theta)}$ A) 0.5. B) 1. C) 2. D) 1.5. Show Answer Correct Answer: B) 1. 30. In an ellipse, what distance does 'c' represent? A) The distance from the center to a vertex. B) The distance from the center to an endpoint of the Minor Axis. C) The length of the major axis. D) The distance from the center to a focus. E) The length of the minor axis. Show Answer Correct Answer: D) The distance from the center to a focus. 31. 6x$^{2}$ + 6y$^{2}$-3x + 4y = 0 is the equation of a A) Hyperbola. B) Circle. C) Ellipse. D) Parabola. Show Answer Correct Answer: B) Circle. 32. Find the equation of the parabola with focus at (4, 5) and a directrix of x = 1. A) $(x+4)^2=8(y+3)$. B) $(x-4)^2=-8(y-3)$. C) $(y-5)^2=6(x-5/2)$. D) $(x-4)^2=8(y-3)$. Show Answer Correct Answer: C) $(y-5)^2=6(x-5/2)$. 33. What is the correct ordered pair for the VERTEX point? A) (h, k). B) (k, h). C) All the above. D) None of the above. Show Answer Correct Answer: A) (h, k). 34. Write an equation for the ellipse with each set of characteristics. Then answer the question.Vertices (-2, -4), (-2, 8)Length of minor axis is 10What is the center of the ellipse? A) (2, -2). B) (-2, 2). C) (-2, 1). D) (-2, 4). Show Answer Correct Answer: B) (-2, 2). 35. For a hyperbola, length of minor axis is A) 2b. B) A. C) 2a. D) B. Show Answer Correct Answer: A) 2b. 36. Y=-2(x+3)$^{2-6}$What is the equation of the directrix? A) Y = 47/8. B) Y =-47/8. C) X = 47/8. D) X =-47/8. Show Answer Correct Answer: B) Y =-47/8. 37. Which of the following center and radius gives the equation (x-3)$^{2}$ + (x + 4)$^{2}$ = $^{9}$/$_{4}$? A) Center:(-3, -4)Radius:$^{9}$/$_{2}$. B) Center:(3, -4)Radius:$^{3}$/$_{2}$. C) Center:(-3, -4)Radius:$^{3}$/$_{2}$. D) Center:(3, -4)Radius:$^{9}$/$_{2}$. Show Answer Correct Answer: B) Center:(3, -4)Radius:$^{3}$/$_{2}$. 38. What has A CIRCULAR BASE, and it's AXIS is always perpendicular line from the center of the base to the VERTEX A) DIRENTRIX. B) A DOUBLE RIGHT CIRCULAR CONE. C) THE VERTEX ANGLE. D) A RIGHT CIRCULAR CONE. Show Answer Correct Answer: D) A RIGHT CIRCULAR CONE. 39. Identify the conic $6y^2-5x-2y+5=0$ A) Circle. B) Parabola. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: B) Parabola. 40. What is the sidewise surface of a circular cone? A) AXIS. B) PARABOLA. C) THE NAPPE. D) ELLIPSE. Show Answer Correct Answer: C) THE NAPPE. 41. The focus of a parabola is located at (-7, -1) and the directrix is at x =-1. Which statement is true? A) The graph opens to the right. B) The directrix is a horizontal line. C) The vertex is at (4, -1). D) The value of p is-3. Show Answer Correct Answer: D) The value of p is-3. 42. True or False? When the x-part is squared, the parabola opens up or down. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 43. What is the value of p? (x+3)$^{2}$ = 4(y+5) A) 4. B) 16. C) 1. D) None of the above. Show Answer Correct Answer: C) 1. 44. What is the focus of the following parabola? $\left(y-3\right)^2=-8\left(x+2\right)$ A) (-5, 2). B) (3, -2 ). C) (-4, 3 ). D) (3, -4). Show Answer Correct Answer: C) (-4, 3 ). 45. Which way does the graph move if the equation looks like y = (x-k)$^{2 }$? A) Graph moves to the RIGHT. B) Graph moves UP. C) Graph moves to the LEFT. D) Graph moves DOWN. Show Answer Correct Answer: A) Graph moves to the RIGHT. 46. $25x^2+9y^2-225=0$ A) Hyperbola. B) Circle. C) Parabola. D) Ellipse. Show Answer Correct Answer: D) Ellipse. 47. What is the equation of a vertical ellipse whose center is (0, 0), length of the major axis is 12 and length of the minor axis is 10? A) $\frac{x^2}{100}+\frac{y^2}{144}=1$. B) $\frac{x^2}{36}+\frac{y^2}{25}=1$. C) $\frac{x^2}{144}+\frac{y^2}{100}=1$. D) $\frac{x^2}{25}+\frac{y^2}{36}=1$. Show Answer Correct Answer: D) $\frac{x^2}{25}+\frac{y^2}{36}=1$. 48. A conic section that has the set of all points in a plane, the sum of whose distances from two fixed points in the plane is a constant. A) Ellipse. B) Parabola. C) Hyperbola. D) Circle. Show Answer Correct Answer: A) Ellipse. 49. To form an ellipse, the orientation of the cutting plane as it intersects the double napped cone is ..... A) Horizontal. B) Parallel to one side of the cone. C) Slightly tilted. D) Vertical. Show Answer Correct Answer: C) Slightly tilted. 50. $x^2+y^2-16y-12x+19=0$ A) $\left(x-6\right)^2+\left(y+8\right)^2=9$. B) $\left(x-6\right)^2+\left(y-8\right)^2=9$. C) $\left(x-6\right)^2+\left(y-8\right)^2=81$. D) $\left(x-8\right)^2+\left(y-6\right)^2=81$. Show Answer Correct Answer: C) $\left(x-6\right)^2+\left(y-8\right)^2=81$. 51. Which conic section does the equation $r = \frac{2}{1 + \sin(\theta)}$ A) Ellipse. B) Parabola. C) Circle. D) Hyperbola. Show Answer Correct Answer: B) Parabola. 52. The focus is always inside the parabola. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 53. What are the coordinates of center of circle passing through (0, 0), (4, 0) and (0, -6) A) (2, -3). B) (3, -2). C) (3, 2). D) (-2, 3). Show Answer Correct Answer: A) (2, -3). 54. In an ellipse, what is the length of the minor axis? A) B. B) A. C) 2a. D) 2b. E) C. Show Answer Correct Answer: D) 2b. 55. Identify the eccentricity of the conic section given by the polar equation $r = \frac{3}{2-\cos(\theta)}$ A) 0.5. B) 2. C) 1. D) 1.5. Show Answer Correct Answer: C) 1. 56. Given the following equation, x$^{2}$+5xy+8y$^{2}$-10x+3y+10=0What type of conic section is this? A) Ellipse. B) Circle. C) Hyperbola. D) Parabola. Show Answer Correct Answer: A) Ellipse. 57. Write an equation for the ellipse with each set of characteristics. Then answer the questions.Vertices ( 4, 3), (4, -9)Length of minor axis is 8What is the center of this ellipse? ..... Write the equation in standard form ..... A) (-4, 3). B) (4, 6). C) (4, -3). D) (6, 4). Show Answer Correct Answer: C) (4, -3). 58. What type of conic section is $-6x^2+4y^2+9x+y+7=0$ A) Parabola. B) Circle. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: C) Hyperbola. 59. The equation of parabola with vertex at origin the axis is along x-axis and passing through the point (2, 3) is(a) y$^{2 }$= 9x(b) 2y$^{2 }$= 9x(c) y$^{2 }$= 2x(d) 9y$^{2}$ = 2x A) . B) . C) . D) . Show Answer Correct Answer: A) . 60. Ellipse is the figure formed when the plane cuts one nappe parallel to the side of the cone. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. Next →Related QuizzesScience QuizzesClass 11 QuizzesClass 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 8Class 11 Mathematics Chapter 11 Conic Sections Quiz 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books