This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 8 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 8 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Find the equation of a parabola with vertex at (-2, -8) and passes through point (-7, -6). A) Y =-$^{2}$/$_{81}$(x-7)$^{2}$-6. B) Y = $^{2}$/$_{81}$(x-2)$^{2}$-8. C) Y =-$^{2}$/$_{25}$(x + 7)$^{2}$-6. D) Y = $^{2}$/$_{25}$(x + 2)$^{2}$-8. Show Answer Correct Answer: D) Y = $^{2}$/$_{25}$(x + 2)$^{2}$-8. 2. Given a directrix of x=2 and a vertex of (4, 1) write the equation of the parabola. A) $x=\frac{1}{8}\left(y-1\right)^2+4$. B) X=81(y-1)2+4 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $x=\frac{1}{8}\left(y-1\right)^2+4$. 3. Write the equation of an ellipse with foci (-5, 2) and (3, 2) and minor axis endpoints (-1, 5) and (-1, -1) A) $\frac{\left(x+1\right)^2}{16}+\frac{\left(y-2\right)^2}{9}=1$. B) $\frac{\left(x+1\right)^2}{9}+\frac{\left(y-2\right)^2}{25}=1$. C) $\frac{\left(x+1\right)^2}{9}+\frac{\left(y-2\right)^2}{16}=1$. D) $\frac{\left(x+1\right)^2}{25}+\frac{\left(y-2\right)^2}{9}=1$. Show Answer Correct Answer: D) $\frac{\left(x+1\right)^2}{25}+\frac{\left(y-2\right)^2}{9}=1$. 4. This is the standard equation of a circle. Which of these indicate the coordinates of the center of a circle? A) ( k, h ). B) ( h, r ). C) ( h, k ). D) ( r, k ). Show Answer Correct Answer: C) ( h, k ). 5. Depending on the angle made by the plane with the vertical axis of the cone, the plane can cut the cone in HOW MANY WAYS? A) FOUR. B) ONE. C) THREE. D) TWO. Show Answer Correct Answer: C) THREE. 6. What can you get if an angle made by the plane to the vertical axis is exactly equal to the vertex angle (a=b)? A) CIRCLE. B) ELLIPSE. C) HYPERBOLA. D) PARABOLA. Show Answer Correct Answer: D) PARABOLA. 7. The center of the ellipse:$\frac{x^2}{25}+\frac{\left(y-3\right)^2}{16}=1$ A) (0, 3). B) (0, -3). C) (-3, 0). D) (3, 0). Show Answer Correct Answer: A) (0, 3). 8. A point moves so that the sum of its distances from (4, 0), (-4, 0) is 10. Find the equation of its locus? A) $9x^2+16y^2-144=0$. B) $9x^2+25y^2-225=0$. C) $16x^2+25y^2-400=0$. D) $25x^2+9y^2+225=0$. Show Answer Correct Answer: B) $9x^2+25y^2-225=0$. 9. Which type of conic section is this equation? $2x^2+8x+3y^2-6y-1=0$ A) Circle. B) Parabola. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: D) Ellipse. 10. What is the vertex? $-\frac{1}{12}\left(y-2\right)^2-3=x$ A) (-3, 2). B) (-2, -3). C) (-3, -2). D) (2, -3). Show Answer Correct Answer: A) (-3, 2). 11. What is the significance of the eccentricity in conic sections? A) Eccentricity determines the area of the conic section. B) Eccentricity measures the deviation of a conic section from being circular. C) Eccentricity indicates the symmetry of the conic section. D) Eccentricity is used to calculate the perimeter of the conic section. Show Answer Correct Answer: B) Eccentricity measures the deviation of a conic section from being circular. 12. Which conic section is represented by the equation $-9x^2+y^2-72x-153=0$ A) Ellipse. B) Hyperbola. C) Parabola. D) Circle. Show Answer Correct Answer: B) Hyperbola. 13. What type of conic section if A = C? A) Hyperboola. B) Parabola. C) Ellipse or an empty set. D) Circle, Point, or an empty set. Show Answer Correct Answer: D) Circle, Point, or an empty set. 14. What is the center of the circle with endpoints of a diameter of (-5, 3) and (7, 5)? A) (4, 1). B) (1, 6). C) (1, 4). D) (6, 1). Show Answer Correct Answer: C) (1, 4). 15. If given the equation $\left(x+5\right)^2=\frac{1}{3}\left(y+4\right)$ $\left(x+5\right)^2=\frac{1}{3}\left(y+4\right)$ A) (5, -4). B) (-5, -4). C) (-15, -4). D) (15, -4). Show Answer Correct Answer: B) (-5, -4). 16. THE FOUR TYPES OF CONIC SECTIONs are:ELLIPSE, PARABOLA, AND HYPERBOLA AND CIRCLE ..... TRUE OR FALSE? A) FALSE. B) TRUE. C) All the above. D) None of the above. Show Answer Correct Answer: A) FALSE. 17. 6y$^{2}$-5x-2y + 5 = 0 A) Parabola. B) Circle. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Parabola. 18. What is "a" in the equation:(y-9)$^{2 }$=$^{ }$-40(x+4) A) -40. B) 10. C) -10. D) 40. Show Answer Correct Answer: C) -10. 19. Identify the given conic sections that the equation represents. $-9x^2+y^2-72x-153=0$ A) Hyperbola. B) Circle. C) Ellipse. D) Parabola. Show Answer Correct Answer: A) Hyperbola. 20. Find the equation of the parabola with vertex (5, 1) and Focus (2, 1). A) $(x-5)^2=-12(y-1)$. B) $(y+1)^2=-12(x+5)$. C) $(y-1)^2=-12(x-5)$. D) $(y-1)^2=12(x-5)$. Show Answer Correct Answer: C) $(y-1)^2=-12(x-5)$. 21. Graph the ellipse given by the equation $\frac{(x+2)^2}{4} + \frac{(y-1)^2}{9} = 1$ A) $(-2, 1)$ $(-2, 1)$. B) $(-2, 4)$ $(-2, -2)$. C) $(-2, 4)$ $(-2, -2)$. D) $(2, 1)$ $(-6, 1)$. Show Answer Correct Answer: B) $(-2, 4)$ $(-2, -2)$. 22. Find the equation of the hyperbola:$x^2-9y^2+2x-54y-161=0$ A) $\frac{\left(x+1\right)^2}{81}-\frac{\left(y+3\right)^2}{9}=1$. B) 81(x+1)2-9(y+3)2=1 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{\left(x+1\right)^2}{81}-\frac{\left(y+3\right)^2}{9}=1$. 23. Identify the conic section described by the equation-6x$^{2}$ + 4y$^{2}$ + 9x + y =-7. A) Ellipse. B) Parabola. C) Circle. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 24. Which parabola opens down with a vertex at (-3, 4)? A) Y =-(x+3)$^{2}$ + 4. B) Y = (x + 3)$^{2}$ + 4. C) Y = (x + 3)$^{2}$-4. D) Y =-(x + 3)$^{2}$-4. Show Answer Correct Answer: A) Y =-(x+3)$^{2}$ + 4. 25. The shape of a satellite dish can be described as a/an ..... Satellite dishes are this shape because radio waves are reflected from the surface of the dish and received into the focus. A) Ellipse. B) Circle. C) Parabola. D) Hyperbola. Show Answer Correct Answer: C) Parabola. 26. Classify this conic:x + 3 = (y-1)$^{2}$ A) Parabola Opens Up. B) Parabola Opens Left. C) Parabola Opens Down. D) Parabola Opens Right. Show Answer Correct Answer: D) Parabola Opens Right. 27. Write the equation of the circle with a radius of 3 and a center of (4, 2). A) ( x-4)$^{2}$ + (y-2)$^{2}$ = 3$^{2}$. B) ( x-2)$^{2}$ + (y-2)$^{2}$ = 3$^{2}$. C) ( x + 4)$^{2}$ + (y + 2)$^{2}$ = 3$^{2}$. D) ( x-4)$^{2}$ + (y-2)$^{2}$ = 3. Show Answer Correct Answer: A) ( x-4)$^{2}$ + (y-2)$^{2}$ = 3$^{2}$. 28. Identify the conic represented by the equation without completing the square:$16x^2+64x+9y^2-54y+1=0$ A) Cirlce. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: B) Ellipse. 29. The vertices of a hyperbola are located at (1, 1) and (5, 1). Which are the coordinates of the center? A) (9, 1). B) (1, 3). C) (3, 0). D) (3, 1). Show Answer Correct Answer: D) (3, 1). 30. Which conic's equation has 2 squares with the same signs and different leading coefficients? A) Hyperbola. B) Parabola. C) Circle. D) Ellipse. Show Answer Correct Answer: D) Ellipse. 31. Which conic's equation has only 1 square? A) Ellipse. B) Hyperbola. C) Parabola. D) Circle. Show Answer Correct Answer: C) Parabola. 32. The equation of the parabola with vertex at the origin, the axis along the x axis and passing through the point (2, 3) is A) $y^2=\frac{9x}{2}$. B) $y^2=\frac{2x}{9}$. C) $y^2=2x$. D) $y^2=9x$. Show Answer Correct Answer: A) $y^2=\frac{9x}{2}$. 33. In the equation $(x-3)^2+(y-2)^2=16$ A) $(-3, -2)$. B) $(3, 2)$. C) $(2, 3)$. D) $(-2, -3)$. Show Answer Correct Answer: B) $(3, 2)$. 34. A parabola is formed if the angle of the cutting plane with the vertical axis is equal to the vertex angle. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 35. $(x-3)^2+(y-5)^2=20$ A) $x^2+y^2-6x-10y+14=0$. B) $x^2+y^2-10x-6y+14=0$. C) $x^2+y^2-6x-10y+20=0$. D) $x^2+y^2+8x-3y+20=0$. Show Answer Correct Answer: A) $x^2+y^2-6x-10y+14=0$. 36. At what point of the parabola $x^2=9y$ A) (1, 3). B) (3, 1). C) (1, 1). D) (-3, -3). Show Answer Correct Answer: B) (3, 1). 37. Classify this conic:x$^{2}$+5xy+8y$^{2}$-10x+3y+10=0 A) Hyperbola. B) Ellipse. C) Parabola. D) Circle. Show Answer Correct Answer: B) Ellipse. 38. In an ellipse, what distance does 'b' represent? A) The distance from the center to an endpoint of the Minor Axis. B) The distance from the center to a focus. C) The distance from the center to a vertex. D) The length of the major axis. E) The length of the minor axis. Show Answer Correct Answer: A) The distance from the center to an endpoint of the Minor Axis. 39. The foci are located inside the ellipse. True or False A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 40. $\frac{x^2}{4}-\frac{y^2}{12}=1$ A) Hyperbola. B) Parabola. C) Circle. D) Ellipse. Show Answer Correct Answer: A) Hyperbola. 41. What is the center of the circle with the equation $x^2+y^2-6x+8y+9=0$ A) $\left(3, 4\right)$. B) $\left(3, -4\right)$. C) $\left(4, -3\right)$. D) $\left(1, 2\right)$. Show Answer Correct Answer: B) $\left(3, -4\right)$. 42. What is the focus of the following parabola? $x=-\frac{1}{12}\left(y+5\right)^2+2$ A) (1, -5 ). B) (2, -5). C) (-1, -5 ). D) (-5, 2). Show Answer Correct Answer: C) (-1, -5 ). 43. What conic section describe by: "an equation of the second degree in which the xy-term is missing and only one square term is present" . A) Hyperbola. B) Ellipse. C) Circle. D) Parabola. Show Answer Correct Answer: D) Parabola. 44. Degenerate conics are formed when the cutting plane crosses the vertex. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 45. (x+3)$^{2}$ = 4(y+5)What is the equation of the directrix? A) Y =-6. B) X = 2. C) Y =-4. D) X = 4. Show Answer Correct Answer: A) Y =-6. 46. What type of conic section is this equation? $\frac{\left(x-5\right)^2}{9}-\frac{\left(y-1\right)^2}{25}=1$ A) Parabola. B) Ellipse. C) Circle. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 47. The radius of the circle given by the equation $\left(x-2\right)^2+\left(y+3\right)^2=25$ A) 5. B) 10. C) 2. D) 25. Show Answer Correct Answer: A) 5. 48. What is the center? $\left(x-3\right)^2+\left(y\right)^2=36$ A) (-3, 0). B) (0, -3). C) (0, 3). D) (3, 0). Show Answer Correct Answer: D) (3, 0). 49. Classify this conic:40x$^{2}$-40y$^{2}$ + 2x-8y + 10 = 0 A) Hyperbola. B) Ellipse. C) Parabola. D) Circle. Show Answer Correct Answer: A) Hyperbola. 50. What type of conic section is this:A and C have opposite signs A) Ellipse, or an empty set. B) Parabola. C) Circle, Point, or an empty set. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 51. Identify the radius of the circle:$x^2+\left(y+2\right)^2=121$ A) $11$. B) 11 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $11$. 52. What is the center, a and b values for the following equation:x$^{2}$ + 4y$^{2}$ + 16x-80y + 320 = 0 A) (8, -10); a = 12, b = 6. B) (-8, 10); a = 6, b = 12. C) (8, -10); a = 6, b = 12. D) (-8, 10); a = 12, b = 6. Show Answer Correct Answer: D) (-8, 10); a = 12, b = 6. 53. If a circle has its center in the origin with a diameter of 8 units, which of the following represents its equation? A) $x^2+y^2=8$. B) $x^2+y^2=16$. C) $x^2+y^2=64$. D) $x^2+y^2=4$. Show Answer Correct Answer: C) $x^2+y^2=64$. 54. Parabola is the figure formed when the plane cuts one nappe at an angle with the cone axis. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 55. Identify the conic:-6x$^{2}$ + 4y$^{2}$ + 9x + y =-7 A) Hyperbola. B) Ellipse. C) Circle. D) Parabola. Show Answer Correct Answer: A) Hyperbola. 56. It is a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant. A) Ellipse. B) Circle. C) Parabola. D) Hyperbola. Show Answer Correct Answer: A) Ellipse. 57. The eccentricity of the hyperbola whose latus rectum is 8 and conjugate axis is equal to half of the distance between the foci is A) $\frac{4}{3}$. B) $\frac{4}{\sqrt{3}}$. C) $\frac{2}{\sqrt{3}}$. D) None of these. Show Answer Correct Answer: C) $\frac{2}{\sqrt{3}}$. 58. The center of the circle $4x^2+4y^2-8x+12y-25=0$ A) (4, -6). B) (2, -3). C) (-4, 6). D) (-2, 3). Show Answer Correct Answer: B) (2, -3). 59. Which of the following conic sections with $e<1$ A) Hyperbola. B) Ellipse. C) Circle. D) Parabola. Show Answer Correct Answer: B) Ellipse. 60. What is the center of this equation(x-3)$^{2}$ + (y + 2)$^{2}$ = 16 A) (3, -2). B) (-3, -2). C) (-3, 2). D) (3, 2). Show Answer Correct Answer: A) (3, -2). ← 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 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books