This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 4 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which of the following equations represents a hyperbola with vertices at $(\pm 4, 0)$ A) $\frac{y^2}{9}-\frac{x^2}{16} = 1$. B) $\frac{x^2}{9}-\frac{y^2}{16} = 1$. C) $\frac{y^2}{16}-\frac{x^2}{9} = 1$. D) $\frac{x^2}{16}-\frac{y^2}{9} = 1$. Show Answer Correct Answer: D) $\frac{x^2}{16}-\frac{y^2}{9} = 1$. 2. Which conic section is represented by the equation 9x$^{2}$-4y$^{2}$-54x-40y-55 = 0 A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 3. What type of conic section if a plane perpendicular to cone axis? A) Ellipse. B) Parabola. C) Hyperbola. D) Circle. Show Answer Correct Answer: D) Circle. 4. If the focus of a parabola is (0, -3) and its directrix is y = 3, then its equation is A) Y$^{2}$= 12 x. B) Y$^{2}$=-12 x. C) X$^{2}$ = 12y. D) X$^{2}$ =-12y. Show Answer Correct Answer: D) X$^{2}$ =-12y. 5. A parabola has a vertex at (-4, 1).Where is the axis of symmetry? A) X = 4. B) X =-4. C) Y =-4. D) Y = 4. Show Answer Correct Answer: B) X =-4. 6. A ..... is the set of all points whose difference from two fixed points is constant. A) Parabola. B) Circle. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 7. Which conic's equation has 2 squares with the same signs and different leading coefficents? A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: B) Ellipse. 8. Does the parabola open up or down? How do you know? $y=3x^2+2x-4$ A) Up, because b = 2. B) Down, because a = 2. C) Up, because a = 3. D) Down, because c =-4. Show Answer Correct Answer: C) Up, because a = 3. 9. What is the radius? $\left(x+4\right)^2+\left(y-2\right)^2=100$ A) 100. B) 2. C) 10. D) -4. Show Answer Correct Answer: C) 10. 10. What do you call theset of all points P in a plane such that the sum of the distances from P to twofixed points is a constant? A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: B) Ellipse. 11. Classify this conic:25x$^{2}$ + 5y$^{2}$ + 6x + 4y +2 = 0 A) Ellipse. B) Circle. C) Hyperbola. D) Parabola. Show Answer Correct Answer: A) Ellipse. 12. What type of conic section is represented by the polar equation $r = \frac{1}{2-\sin(\theta)}$ A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: B) Ellipse. 13. What best describes a locus where all points are 2 cm from a point P? A) Ellipse. B) Circle. C) Triangle. D) Line. Show Answer Correct Answer: B) Circle. 14. What is the center-radius form of the equation of a circle? 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) $\left(x-h\right)^2+\left(y-k\right)^2=r^2$. 15. Which conic section is represented by the equation $2x^2-16x-12y+20=0$ A) Ellipse. B) Circle. C) Hyperbola. D) Parabola. Show Answer Correct Answer: D) Parabola. 16. What type of conic section is $6x^2+6y^2-3x+4y=0$ A) Parabola. B) Ellipse. C) Hyperbola. D) Circle. Show Answer Correct Answer: D) Circle. 17. Which correctly describes the parabola:$x=-3\left(y+1\right)^2+5$ A) Opens left. B) Opens down. C) Opens up. D) Opens right. Show Answer Correct Answer: A) Opens left. 18. Asymptotes of the hyperbola $\frac{y^2}{a^2}-\frac{x^2}{b^2}=1$ A) $y=\pm\frac{a}{b}x$. B) $y=\pm\frac{b}{a}x$. C) All the above. D) None of the above. Show Answer Correct Answer: A) $y=\pm\frac{a}{b}x$. 19. Directrix of the parabola $y=4x^2$ A) $y=1$. B) $y=-4$. C) $y=\frac{1}{16}$. D) $y=-\frac{1}{16}$. Show Answer Correct Answer: D) $y=-\frac{1}{16}$. 20. Identify the given conic sections that the equation represents. $-4x^2+y^2+8x-20y-4=0$ A) Parabola. B) Hyperbola. C) Ellipse. D) Circle. Show Answer Correct Answer: B) Hyperbola. 21. Why are Conic Sections given this name? A) They are the cross-sections given when a cone is sliced. B) Because it's part of 'da rules'. C) They are the cross-sections given when any 3D image is sliced. D) None of the above. Show Answer Correct Answer: A) They are the cross-sections given when a cone is sliced. 22. What is the center of (x-5)$^{2 }$+ (y + 1)$^{2}$ = 25 A) (-1, 5). B) (5, -1). C) (1, 5). D) (-5, 1). Show Answer Correct Answer: B) (5, -1). 23. Which is a horizontal ellipse? A) $\frac{x^2}{4}+\frac{y^2}{9}=1$. B) $\frac{x^2}{16}+\frac{y^2}{9}=1$. C) $x^2+\frac{y^2}{49}=1$. D) $\frac{x^2}{16}+\frac{y^2}{16}=1$. Show Answer Correct Answer: B) $\frac{x^2}{16}+\frac{y^2}{9}=1$. 24. If a vertex of a horizontal ellipse is at (0, 0) and the length of the major axis is 8, where is the other vertex? A) (0, 8). B) (8, 0). C) (0, 16). D) (16, 0). Show Answer Correct Answer: B) (8, 0). 25. What is the center for this ellipse? $\frac{\left(x+1\right)^2}{16}+\frac{\left(y-4\right)^2}{4}=1$ A) (1, -4). B) (-1, 4). C) (2, 4). D) (4, 2). Show Answer Correct Answer: B) (-1, 4). 26. What is the midpoint between the points at (12, 7) and (18, 19)? A) (15, 13). B) (3, 6). C) (30, 26). D) (-6, -12). Show Answer Correct Answer: A) (15, 13). 27. A type of conic section which has the set of all points that are equidistant from a fixed point in the plane. A) Circle. B) Parabola. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Circle. 28. What type of conic section is $25x^2+5y^2+6x+4y+2=0$ A) Ellipse. B) Parabola. C) Circle. D) Hyperbola. Show Answer Correct Answer: A) Ellipse. 29. All parabolas with a vertical directrix open the left or right. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 30. Which of the following is the standard form of the equation of an ellipse centered at the origin with semi-major axis $a$ $b$ A) $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$. B) $\frac{x^2}{b^2} + \frac{y^2}{a^2} = 1$. C) $\frac{x^2}{b^2}-\frac{y^2}{a^2} = 1$. D) $\frac{x^2}{a^2}-\frac{y^2}{b^2} = 1$. Show Answer Correct Answer: A) $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$. 31. What are the coordinates of the center of the ellipse given by the equation $\frac{(x-3)^2}{16} + \frac{(y+2)^2}{9} = 1$ A) $(3, 2)$. B) $(3, -2)$. C) $(-3, -2)$. D) $(-3, 2)$. Show Answer Correct Answer: B) $(3, -2)$. 32. In an ellipse, what is the length of the major axis? A) 2b. B) 2a. C) A. D) C. E) B. Show Answer Correct Answer: B) 2a. 33. If a parabola has a vertex of (1, 0) and a focus of (9/7, 0), what would the fraction be that is in front of the parentheses in the equation? A) 8/7. B) 2/7. C) 7/2. D) 7/8. Show Answer Correct Answer: D) 7/8. 34. What is an equation of a quadratic with x-intercepts at $\left(4, 0\right)$ $\left(-5, 0\right)$ A) $y=4\left(x+4\right)\left(x+5\right)$. B) $y=3\left(x-4\right)\left(x-5\right)$. C) $y=-\frac{1}{3}\left(x+4\right)\left(x-5\right)$. D) $y=-\frac{4}{5}\left(x-4\right)\left(x+5\right)$. Show Answer Correct Answer: D) $y=-\frac{4}{5}\left(x-4\right)\left(x+5\right)$. 35. Identify the conic represented by the equation without completing the square:$4x^2-24x-9y^2-90y-153=0$ A) Hyperbola. B) Ellipse. C) Cirlce. D) Parabola. Show Answer Correct Answer: A) Hyperbola. 36. Given a parabola with a vertex of (4, 0) and a focus of (4, -1) write the equation of the parabola. A) $y=-\frac{1}{4}\left(x-4\right)^2$. B) Y=-41(x-4)2 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $y=-\frac{1}{4}\left(x-4\right)^2$. 37. Identify the conic section $\left(y-9\right)^2+\left(x+4\right)^2=1$ A) Parabola. B) Ellipse. C) Circle. D) Hyperbola. Show Answer Correct Answer: C) Circle. 38. Write an equation for a parabola with the given focus F and vertex V:F(2, 8) V(2, 10) A) $\left(x-2\right)^2=-8\left(y-10\right)$. B) $\left(x-4\right)^2=-8\left(y+10\right)$. C) $\left(x-3\right)^2=-5\left(y+10\right)$. D) $\left(x-2\right)^2=-6\left(y-5\right)$. Show Answer Correct Answer: A) $\left(x-2\right)^2=-8\left(y-10\right)$. 39. What is the center of the circle indicated by the equation (x-2)$^{2}$+ y$^{2 }$= 36? A) (1, 0). B) (-2, 0). C) (2, 0). D) (-1, 0). Show Answer Correct Answer: C) (2, 0). 40. $\left(x-h\right)^2+\left(y-k\right)^2=r^2$ A) ( h, r ). B) ( r, k ). C) ( h, k ). D) ( k, h ). Show Answer Correct Answer: C) ( h, k ). 41. There are figures that formed by intersecting two inverted cones and a plane. A) Parabolas. B) Cross Sections. C) Conic Sections. D) Circles. Show Answer Correct Answer: C) Conic Sections. 42. A satellite in orbit around Earth traces a path called a/an ..... A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: B) Ellipse. 43. An ellipse is formed if the angle of the cutting plane with the vertical axis is less than the vertex angle. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 44. Write the equation of a circle in standard form:$4y+y^2=-28x-x^2-191$ A) $\left(x+10\right)^2+\left(y+2\right)^2=9$. B) (x+10)2+(y+2)2=9 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\left(x+10\right)^2+\left(y+2\right)^2=9$. 45. The ..... of a conic is the chord passing through the focus and perpendicular to the axis. A) Directrix. B) Radius. C) Eccentricity. D) None of the above. Show Answer Correct Answer: D) None of the above. 46. What is the major axis for the following equation? $\frac{\left(x-4\right)^2}{4}+\frac{\left(y-1\right)^2}{36}=1$ A) Horizontal. B) Vertical. C) All the above. D) None of the above. Show Answer Correct Answer: B) Vertical. 47. What is the length of a semi-major axis? A) The length of a semi-major axis is half the length of the major axis. B) The length of a semi-major axis is twice the length of the major axis. C) The length of a semi-major axis is equal to the length of the minor axis. D) The length of a semi-major axis is one-fourth the length of the major axis. Show Answer Correct Answer: A) The length of a semi-major axis is half the length of the major axis. 48. Identify the conic section $-\frac{\left(y+1\right)^2}{25}+\frac{\left(x+1\right)^2}{16}=1$ A) Hyperbola. B) Circle. C) Ellipse. D) Parabola. Show Answer Correct Answer: A) Hyperbola. 49. Write the equation of a circle in standard form:$x^2+y^2-10x+20y+61=0$ A) $\left(x-4\right)^2+\left(y+12\right)^2=64$. B) (x-4)2+(y+12)2=64 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\left(x-4\right)^2+\left(y+12\right)^2=64$. 50. In a hyperbola, the transverse axis passes through which of the following points ..... A) Center. B) Foci. C) Vertices. D) All of the above. Show Answer Correct Answer: D) All of the above. 51. Which conic's equation has only 1 squared term? A) Hyperbola. B) Ellipse. C) Parabola. D) Circle. Show Answer Correct Answer: C) Parabola. 52. What type of conic section is represented by the equation $y^2=8x$ A) Ellipse. B) Circle. C) Parabola. D) Hyperbola. Show Answer Correct Answer: C) Parabola. 53. What is the eccentricity of the ellipse, if the minor axis is equal to the distance between the foci. A) $\frac{\sqrt{2}}{3}$. B) $\frac{2}{\sqrt{3}}$. C) $\frac{1}{\sqrt{2}}$. D) $\frac{\sqrt{3}}{2}$. Show Answer Correct Answer: C) $\frac{1}{\sqrt{2}}$. 54. Floating angle theorem A) B) An angle formed when a tangent and a chord meet that measures half of the arc. C) AB=CD. D) When 2 tangents meet outside of a circle they are congruent. Show Answer Correct Answer: A) 55. The set of all points in a plane that are equidistant from a fixed line (directrix) and a fixed point (focus) in the plane is called ..... A) Hyperbola. B) Circle. C) Parabola. D) Ellipse. Show Answer Correct Answer: C) Parabola. 56. A surface is formed when a straight line intersects a vertical line at a fixed point and rotates about that fixed point. What would be the term for what you have obtained? A) CIRCLE. B) CONIC SECTIONS. C) DOUBLE RIGHT CIRCULAR CONE. D) PARABOLAS. Show Answer Correct Answer: C) DOUBLE RIGHT CIRCULAR CONE. 57. If the radius is the distance from the outside to the middle what is the diameter A) The diameter stretches from one side to another. B) The diameter makes up the whole circle. C) The diameter is the outside of the circle. D) The diameter is half the radius. Show Answer Correct Answer: A) The diameter stretches from one side to another. 58. Write the equation for a circle with center (-2, 0) and a radius of 7. A) $\left(x-2\right)^2+y^2=7$. B) $\left(x-2\right)^2+y^2=49$. C) $\left(x+2\right)^2+y^2=7$. D) $\left(x+2\right)^2+y^2=49$. Show Answer Correct Answer: D) $\left(x+2\right)^2+y^2=49$. 59. A degenerate hyperbola is represented by intersecting lines. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 60. Find the equation of the specified hyperbola with its center at the origin:Vertices:$\left(0, \pm8\right)$ $y=\pm4x$ A) $\frac{y^2}{64}-\frac{x^2}{4}=1$. B) 64y2-4x2=1 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{y^2}{64}-\frac{x^2}{4}=1$. ← 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 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