This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 3 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The following are degenerate conics except: A) Point. B) Pair of intersecting lines. C) Single Line. D) Plane. Show Answer Correct Answer: D) Plane. 2. What do you call if the plane intersects the double right circular cone at its vertex:the ellipse becomes a point, the parabola becomes a line and the hyperbola becomes two intersecting lines? A) CONIC SECTION. B) THE VERTEX ANGLE. C) TRANSFORMATION. D) DEGENERATE CONICS. Show Answer Correct Answer: D) DEGENERATE CONICS. 3. What is the graph of x$^{2}$ + 4y$^{2}$-2y = 8? A) Parabola. B) Hyperbola. C) Circle. D) Ellipse. Show Answer Correct Answer: D) Ellipse. 4. Which conic section is represented by the equation9x$^{2}$-4y$^{2}$-54x-40y-55 = 0Rewrite the equation in standard form ..... A) Hyperbola. B) Circle. C) Ellipse. D) Parabola. Show Answer Correct Answer: A) Hyperbola. 5. (y)$^{2}$ =-8xWhat direction does this parabola open? A) Down. B) Left. C) Up. D) Right. Show Answer Correct Answer: B) Left. 6. What is the equation of the parabola with a focus at (4, 3) and a directrix at y=-1? A) $\left(x-4\right)^2=4\left(y-1\right)$. B) $\left(x-4\right)^2=-8\left(y-1\right)$. C) $\left(x-4\right)^2=8\left(y-1\right)$. D) $\left(x-1\right)^2=8\left(y-4\right)$. Show Answer Correct Answer: C) $\left(x-4\right)^2=8\left(y-1\right)$. 7. Find the equation of circle whose is centre at (-2, 3 ) and passing through the point (-5, 4 ) A) $\left(x+2\right)^2+\left(y-3\right)^2=10$. B) $\left(x-2\right)^2+\left(y+3\right)^2=10$. C) $\left(x+4\right)^2+\left(y-3\right)^2=5$. D) $\left(x-4\right)^2-\left(y+3\right)^2=5$. Show Answer Correct Answer: A) $\left(x+2\right)^2+\left(y-3\right)^2=10$. 8. Endpoints of major axis:$\frac{x^2}{25}+\frac{y^2}{49}=1$ A) (7, 0) and (-7, 0). B) (0, -7) and (0, 7). C) (5, 0) and (-5, 0). D) (0, -5) and (0, 5). Show Answer Correct Answer: B) (0, -7) and (0, 7). 9. Find the equation of a parabola that passes through point (10, -4) with vertex (0, -1). A) Y = $^{1}$/$_{20}$x$^{2 }$-1. B) Y = $^{1}$/$_{20}$x$^{2}$ + 4. C) Y =$^{1}$/$_{4}$x$^{2}$-1. D) Y = $^{1}$/$_{5}$x$^{2 }$-1. Show Answer Correct Answer: A) Y = $^{1}$/$_{20}$x$^{2 }$-1. 10. Find the distance between the directrix and the vertex of the parabola $x^2+8y=0$ A) 4. B) 1. C) 2. D) 8. Show Answer Correct Answer: C) 2. 11. Identify the given conic sections that the equation represents. $2y^2+x=-20y-51$ A) Hyperbola. B) Parabola. C) Circle. D) Ellipse. Show Answer Correct Answer: B) Parabola. 12. What is the focus of the parabola with equation $\left(y+5\right)^2=-12\left(x-2\right)$ A) (-1, -5 ). B) (-5, 2). C) (2, -5). D) (1, -5 ). Show Answer Correct Answer: A) (-1, -5 ). 13. $(x-4)^2+(y+7)^2=13$ A) $x^2+y^2+2x-10y+5=0$. B) $x^2+y^2-8x+14y+52=0$. C) $x^2+y^2-10x-7y+32=0$. D) $x^2+y^2-14x-10y+8=0$. Show Answer Correct Answer: B) $x^2+y^2-8x+14y+52=0$. 14. Find the standard form of the equation of the parabola whose focus (0, 4) and a directrix y=-4. A) Y$^{2}$ = 4x. B) Y = (1/16)x$^{2}$. C) Y$^{2}$ = 16x. D) Y = (1/4)x$^{2}$. Show Answer Correct Answer: B) Y = (1/16)x$^{2}$. 15. Which is the radius of the circle with equation(x-2)$^{2}$ + (y + 4)$^{2}$ = 9 A) 3. B) 81. C) 9. D) 4.5. Show Answer Correct Answer: A) 3. 16. It is a curve obtained as the double right circular cone intersects with a plane? A) CONIC SECTIONS. B) DOUBLE RIGHT CIRCULAR CONE. C) A CIRCLE. D) PARABOLA. Show Answer Correct Answer: A) CONIC SECTIONS. 17. What direction does the parabola point? $y^2=16x$ A) Left. B) Down. C) Up. D) Right. Show Answer Correct Answer: D) Right. 18. A chord that goes through the center of a circle. A) Chord. B) Radius. C) Circumference. D) Circle. E) Diameter. Show Answer Correct Answer: E) Diameter. 19. Determine the eccentricity of the conic section described by $r = \frac{4}{1-0.5\cos(\theta)}$ A) 2. B) 1.5. C) 0.5. D) 1. Show Answer Correct Answer: C) 0.5. 20. Identify the given conic sections that the equation represents. $x^2+y^2-2x+4y-11=0$ A) Parabola. B) Circle. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: B) Circle. 21. What value must 'c' be so that the graph of $4x^2+cy^2+2x-2y-18=0$ A) -8. B) -4. C) 8. D) 4. Show Answer Correct Answer: D) 4. 22. The term "conic section"derives from the fact that each curve is formed when a plane intersects a right circular cone. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 23. Identify the conic represented by the equation without completing the square:$x^2+y^2+12x-6y-4=0$ A) Cirlce. B) Parabola. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Cirlce. 24. What conic section is formed when the plane is horizontal or parallel to the base? A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: A) Circle. 25. The equation $\frac{x^2}{b^2}+\frac{y^2}{a^2}=1$ A) A circumference with center at the origin. B) A vertical ellipse with a center at the origin. C) A horizontal ellipse with center at the origin. D) A vertical ellipse with center at (h, k). Show Answer Correct Answer: B) A vertical ellipse with a center at the origin. 26. Which conic is described by (x-4)$^{2}$ = 8(y-3)? A) Circle. B) Hyperbola. C) Ellipse. D) Parabola. Show Answer Correct Answer: D) Parabola. 27. What do you call the intersection of a plane with a cone? A) Conic Sections. B) Analytic Geometry. C) Circle. D) Degenerate Cases. Show Answer Correct Answer: A) Conic Sections. 28. What is the equation of a circle whose diameter is 24 and whose center is at the origin? A) X$^{2}$+y$^{2}$=64. B) X$^{2}$+y$^{2}$=125. C) X$^{2}$+y$^{2}$=576. D) X$^{2}$+y$^{2}$=144. Show Answer Correct Answer: D) X$^{2}$+y$^{2}$=144. 29. X= 1/4(y-5)$^{2}$-2What are the coordinates for the focus? A) (2, 6). B) (1, 5). C) (-1, 5). D) (-2, 5). Show Answer Correct Answer: C) (-1, 5). 30. (x)$^{2}$ =-4yWhat is the equation of the directrix? A) X =-1. B) Y = 1. C) Y =-1. D) X = 1. Show Answer Correct Answer: B) Y = 1. 31. What is the distance between the two foci? $\frac{\left(x+4\right)^2}{36}-\frac{\left(y-5\right)^2}{4}=1$ A) $2\sqrt{10}$. B) $8\sqrt{2}$. C) $4\sqrt{10}$. D) $4\sqrt{2}$. Show Answer Correct Answer: C) $4\sqrt{10}$. 32. Which correctly describes the parabola:$x=7\left(y-6\right)^2-2$ A) Opens down. B) Opens up. C) Opens right. D) Opens left. Show Answer Correct Answer: C) Opens right. 33. A conic section defines a set of all points in a plane, the difference of whose distances from two fixed points in the plane is a constant. A) Parabola. B) Hyperbola. C) Ellipse. D) Circle. Show Answer Correct Answer: B) Hyperbola. 34. There are ..... types of conic sections. A) 1. B) 3. C) 2. D) 4. Show Answer Correct Answer: D) 4. 35. Identify the conic section described by the equation 6y$^{2}$-5x-2y + 5 = 0. A) Parabola. B) Circle. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Parabola. 36. The focus is at (-8, -39/4) and the vertex is at (-8, -10). What is the equation of the parabola? A) Y=(x+8)$^{2}$-10. B) Y=(x+11)$^{2}$+7. C) Y=-(x+8)$^{2}$-10. D) Y=(-x+11)$^{2}$-10. Show Answer Correct Answer: A) Y=(x+8)$^{2}$-10. 37. The straight line which runs from the apex of the cone to the base A) GENERATOR. B) THE NAPPE. C) DOUBLE RIGHT CIRCULAR CONE. D) VERTEX ANGLE. Show Answer Correct Answer: A) GENERATOR. 38. What do you call theset of all points in a plane that are the same distance from a given point? A) Ellipse. B) Circle. C) Hyperbola. D) Parabola. Show Answer Correct Answer: B) Circle. 39. $\frac{x^2}{16}+\frac{y^2}{25}=1$ A) 25. B) 5. C) 4. D) 16. Show Answer Correct Answer: C) 4. 40. What type of conic section is represented by the polar equation $r = \frac{4}{3 + \sin(\theta)}$ A) Hyperbola. B) Circle. C) Ellipse. D) Parabola. Show Answer Correct Answer: D) Parabola. 41. Identify the conic section:$-6x^2+4y^2+9x+y+7=0$ A) Ellipse. B) Hyperbola. C) Parabola. D) Circle. Show Answer Correct Answer: B) Hyperbola. 42. An ellipse degenerates into a line segment if A) C=0. B) C=a. C) All the above. D) None of the above. Show Answer Correct Answer: B) C=a. 43. The focus is at (2, 0) and the vertex is at (-4, 0). What is the equation of the parabola? A) (x+4)$^{2}$ =-20y. B) Y$^{2}$ = 24(x+4). C) (y+4)$^{2}$ =-12x. D) X$^{2}$ = 16(y+4). Show Answer Correct Answer: B) Y$^{2}$ = 24(x+4). 44. For the ellipse located at $\frac{\left(x\right)^2}{25}+\frac{\left(y\right)^2}{4}=1$ A) $\left(0, \\pm\sqrt{21}\right)$. B) $\left(\pm\sqrt{29}, 0\right)$. C) $\left(0, \\pm\sqrt{29}\right)$. D) $\left(\pm\sqrt{21}, 0\right)$. Show Answer Correct Answer: D) $\left(\pm\sqrt{21}, 0\right)$. 45. It is a locus of points in a given distance from one point called the center. A) Hyperbola. B) Parabola. C) Ellipse. D) Circle. Show Answer Correct Answer: D) Circle. 46. Write an equation for the ellipse with each set of characteristics. Then answer the question.Vertices ( 4, 3), (4, -9)Length of minor axis is 8what type of an ellipse has the following characteristics? A) Vertical. B) Horizontal. C) All the above. D) None of the above. Show Answer Correct Answer: A) Vertical. 47. HYPERBOLA HAS HOW MANY DISJOINT CURVES?? A) 4. B) 2. C) 1. D) 3. Show Answer Correct Answer: B) 2. 48. Equation of a circle which passes through (3, 6) and touches the axes is A) X$^{2 }$ + y$^{2}$ + 6x + 6y + 3 = 0. B) X$^{2}$ + y$^{2}$-6x-6y + 9 = 0. C) X$^{2}$ + y$^{2}$-6x-6y-9 = 0. D) None of these. Show Answer Correct Answer: B) X$^{2}$ + y$^{2}$-6x-6y + 9 = 0. 49. What kind of line does a right circular cone have in its axis? A) A INFINITE LINE. B) A HORIZONTAL LINE. C) VERTICAL LINE. D) A PERPENDICULAR LINE. Show Answer Correct Answer: D) A PERPENDICULAR LINE. 50. How do you convert the general form of a circle's equation to standard form? A) By factoring the equation into linear terms. B) By completing the square for x and y. C) By using the quadratic formula to find the roots. D) By rearranging the equation to isolate y. Show Answer Correct Answer: B) By completing the square for x and y. 51. Name the center of the ellipse and the a and b values:$\frac{x^2}{100}+\frac{\left(y+2\right)^2}{25}=1$ A) Center:(0, -2)a=10b=5. B) Center:(0, 2) a = 10b = 5. C) Center:(0, 2)a=100b=25. D) Center:(0, -2) a = 100 b = 25. Show Answer Correct Answer: A) Center:(0, -2)a=10b=5. 52. Which conic section is represented by the equation4x$^{2}$ + 25y$^{2}$-8x + 150y + 129 = 0 A) Hyperbola. B) Circle. C) Parabola. D) Ellipse. Show Answer Correct Answer: D) Ellipse. 53. What type of conic section is $3x^2-y^2-11x+4=0$ A) Hyperbola. B) Circle. C) Ellipse. D) Parabola. Show Answer Correct Answer: A) Hyperbola. 54. Determine the eccentricity for the conic section described by $r = \frac{2}{1 + 0.5\sin(\theta)}$ A) 1.5. B) 2. C) 1. D) 0.5. Show Answer Correct Answer: D) 0.5. 55. The focus of a parabola is at ( 5, 0 ) and the vertex is at ( 0, 0 ). What is the equation of this parabola? A) X$^{2}$ = 20y. B) Y$^{2 }$=-20x. C) Y$^{2}$ = 20x. D) X$^{2}$ =-20y. Show Answer Correct Answer: C) Y$^{2}$ = 20x. 56. Circle is the figure formed when the cutting plane on a nappe is perpendicular to the cone axis. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 57. Write the equation of a circle in standard form:$137+6y=-y^2-x^2-24x$ A) $\left(x+12\right)^2+\left(y+3\right)^2=16$. B) (x+12)2+(y+3)2=16 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\left(x+12\right)^2+\left(y+3\right)^2=16$. 58. A ..... is the set of all points (x, y) in a plane that are equidistant from a fixed point, called the center. A) Locus. B) Conic section. C) Circle. D) Radius. Show Answer Correct Answer: C) Circle. 59. A hyperbola has vertices at (0, -1) and (4, -1) and foci at (-2, -1) and (6, -1). What is the value of b$^{2}$? A) 12. B) 4. C) 16. D) 144. Show Answer Correct Answer: A) 12. 60. A circle is passing through the points (0, 0) and (6, 12). Its center is on the line y=x+3. What is the equation of the circle? A) $\left(x+3\right)^2+\left(y+6\right)^2=45$. B) $\left(x+6\right)^2+\left(y+3\right)^2=45$. C) $\left(x-6\right)^2+\left(y-3\right)^2=45$. D) $\left(x-3\right)^2+\left(y-6\right)^2=45$. Show Answer Correct Answer: D) $\left(x-3\right)^2+\left(y-6\right)^2=45$. ← 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 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